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The accuracy of the cosmological constraints derived from these measurements will depend on the knowledge of the underlying redshift distributions based on photometric redshift calibrations.<\/jats:p>\n<jats:p><jats:italic>Aims.<\/jats:italic> A new approach is proposed to use the stacked spectra from <jats:italic>Euclid<\/jats:italic> slitless spectroscopy to augment broad-band photometric information to constrain the redshift distribution with spectral energy distribution fitting. The high spectral resolution available in the stacked spectra complements the photometry and helps to break the colour-redshift degeneracy and constrain the redshift distribution of galaxy samples.<\/jats:p>\n<jats:p><jats:italic>Methods.<\/jats:italic> We modelled the stacked spectra as a linear mixture of spectral templates. The mixture may be inverted to infer the underlying redshift distribution using constrained regression algorithms. We demonstrate the method on simulated <jats:italic>Vera C. Rubin<\/jats:italic> Observatory and <jats:italic>Euclid<\/jats:italic> mock survey data sets based on the <jats:italic>Euclid<\/jats:italic> Flagship mock galaxy catalogue. We assess the accuracy of the reconstruction by considering the inference of the baryon acoustic scale from angular two-point correlation function measurements.<\/jats:p>\n<jats:p><jats:italic>Results.<\/jats:italic> We selected mock photometric galaxy samples at redshift <jats:italic>z<\/jats:italic>\u2004&gt;\u20041 using the self-organising map algorithm. Considering the idealised case without dust attenuation, we find that the redshift distributions of these samples can be recovered with 0.5% accuracy on the baryon acoustic scale. The estimates are not significantly degraded by the spectroscopic measurement noise due to the large sample size. However, the error degrades to 2% when the dust attenuation model is left free. 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