We propose a scaling hypothesis for pattern-forming systems in which modulation of the order parameter results from the competition between a short-ranged interaction and a long-ranged interaction decaying with some power α of the inverse distance. With L being a spatial length characterizing the modulated phase, all thermodynamic quantities are predicted to scale like some power of L, L △(α,d) . The scaling dimensions △(α, d) only depend on the dimensionality of the system d and the exponent α. Scaling predictions are in agreement with experiments on ultra-thin ferromagnetic films and computational results. Finally, our scaling hypothesis implies that, for some range of values α > d, Inverse-Symmetry-Breaking transitions may appear systematically in the considered class of frustrated systems.