shapefile transform

[David Bitner]

Off topic for mapserver list, but could anyone help me figure out a way to
apply a scale transformation to a shapefile.

I have locally surveyed data with the only connection to a "real" coordinate
system being that if you multiply all the coordinates by a factor of
.9999129 then you get the coordinates in State Plane.  Evidently this is the
result of a mistake made 50 years ago that has been propogated ever since.

Basically, since there is no projection information for this data and it is
change in scale, rather than just an xy shift I am stuck on how to make the
transformation using ArcGIS, OGR, or other tools.

Thanks,
David