I can't really give you a answer as eldentyrell hasn't given any numbers on power consumption yet..... However the power converter is made for 40 Amps but will go up to 70 before it enters "Hiccup mode". You could probably run it at 50-60 Amps pretty safely and I really doubt you would need more than that. Going past the 40 Amp mark would probably also require that the power converter gets lots of airflow so it doesn't overheat.
As a comparison ZTEX uses 8A per FPGA which would be 32A for 4
This is just a guess but I think the new bitstream will use around 10A - 12A per FPGA
A nice thing about this board design is if the board cant supply enough power for 4 FPGA's on the new bitstream you could always just unplug one of the FPGAs. Another option is new backplanes with larger power converters could be made and you could just plug your FPGAs into the new backplane.
So as long as it's at or under 40A all the Sparten6's should hash at 250MH/s each taking the boards to 1GH/s each. Or if it needs to much power just use three of the Sparten6 modules per board at 750MH/s.