Inclusive and exclusive scattering is studied within an impact parameter framework. It is shown that the inclusive p ⊥ distribution at a fixed value of c.m. longitudinal momentum, p ‖;, is governed only by the impact parameter structure of the observed particle. Next we introduce to each of the produced particles a radius, which is assumed to be independent of all the other particles, including those in the initial state. This enables us, at a fixed value of p ‖, to relate the elastic πN, KN and NN data, at lab momenta of less than 20 GeV, to the pion, kaon, proton and antiproton inclusive p ⊥ distributions at ISR energies.