Treat it as a fraction where it must stay equal 6/54 with fractions, you can do anything as long as you do it so top and bottom so 6/54=1/9=2/18=3/27=4/36=5/45 etc
but don't forget to convert back to ratios so some examples are 1:9 2:18 3:27 4:35 5:45
Your intention with the wording "consecutive integers of 12 feet" is not clear. Shown are triangles with sides 12 and 13 (a nice Pythagorean triple) as well as 11 and 12.