Study the diagram of circle G, where two chords, EF¯¯¯¯¯¯¯¯ and WV¯¯¯¯¯¯¯¯¯, are congruent. Segment JK is a diameter of circle G and intersects EF¯¯¯¯¯¯¯¯ at a right angle at point P.
JK¯¯¯¯¯¯¯¯ intersects WV¯¯¯¯¯¯¯¯¯ at a right angle at point O.

Circle G as described in the problem. Angle F P G and angle V O K are marked as right angles.

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If PG=x−4 and GO=12x+3, what is the length of PG¯¯¯¯¯¯¯¯?

−1

14

10

7