Quadrilateral G H J K consists of segment G H labeled 4, segment H J labeled 6, segment J K labeled 8, and segment K G labeled 10. Quadrilateral M N L P consists of segment L M labeled 6, segment M N labeled 9, segment N P labeled x, and segment P L labeled 15. Angle H and angle M are right angles. Angle K is marked congruent to angle P. Angle G is marked congruent to angle L. Angle J is marked congreunt to angle N. The polygons are similar. Find the value of $x$ . $x=$