Rudi's Riddle Mystery Cache

This cache features a riddle which was given to us by the algorithm & software development group leader at our institute to "train our brain cells". The given coordinates only mark the region.

Given four numbers, obviously there are six possibilities to choose pairs of two. Five of the products of these pairs are known to give two, three, four, five and six. The sixth product x leads you to the cache:

    N48° 07.(70*x)'
    E16° 16.(900/x)'

    (calculate the brackets to get milli-minutes)

Please note that coordinates are a bit rounded in order to have a formula with integer numbers, but the cache lies within the usual radius of ~10m.

This is not a cache that needs a CPU - just brains - I hope you take the challenge!

You can check your answers for this puzzle on Geochecker.com.

Bring your own pen!