Let A B C D be a cyclic quadrilateral with A B=3, B C=2, C D=6, D A=8, and circumcircle \Gamma. The tangents to \Gamma at A and C intersect at P and the tangents to \Gamma at B and D intersect at Q. Suppose lines P B and P D intersect \Gamma at points W \neq B and X \neq D, respectively. Similarly, suppose lines Q A and Q C intersect \Gamma at points Y \neq A and Z \neq C, respectively. What is the value of \frac{W X^{2}}{Y Z^{2}} ?