Not really much useful information to go by here, Cj... resistance and wire gauge, as well as the method of power output and limitations if any, would be helpful to aid in solving your issues.
Assuming you built the parallel quad to the same resistance as the parallel dual... chances are you have a lower "heat flux" value. Heat flux, or radiant heat is measured in milliwatts per square millimeter - or mW/mm².
Just an example to consider... if you built a dual with a heat flux of 237 mW/mm², and built a quad at the same resistance, with the same gauge wire... the heat flux would drop to a stone cold 59 mW/mm².