By using effective chiral Lagrangians with a suitable incorporation of the scaling property of QCD, we establish the approximate in-medium scaling law, m σ / m σ ≈ m N / m N ≈ m ρ / m ρ ≈ m ω / m ω ≈ f π / f π. This has a highly nontrivial implication for nuclear processes at or above nuclear-matter density.