(Solved): A person weighing 110 lbs on the surface of Earth exerts 1/9 of that force on a bathroom scale on ...

A person weighing 110 lbs on the surface of Earth exerts $$1/9$$ of that force on a bathroom scale on the surface of Planet $$X$$ whose mass is $$9x$$ Earth's mass. Assume the average density of Earth, rho is 5488 $$\mathrm{kg}/\mathrm{cu}.\mathrm{m}$$. determine the density of Planet $$X$$ in $$\mathrm{kg}/\mathrm{cu}.\mathrm{m}$$. Derive and express algebraic solution in terms of givens: earth density rho and the multiplier $$f$$.