The GP base has an internal inscribed circle and if pi as 22/7 is used this circle with radius 1 is 44/7 and the escribed square using the sekhed as 14/11 is 8 as a perimeter.
This is the GP base 8 x 22 = 176 units.
The method suggested only works with pi as 22/7 so as well as giving the rise ratio it give the circle to square ratio.
I don't know if there is any evidence this was used but certainly 14/11 was at the GP according to your calculation.
Also the cubit works as x/1760 where x is the base length x so 9069 x 4 = 32760 /1760 = 20.611 and the height will always be this unit x 280 I think.