Geometric ratio

Geometry Level 3

The diagonals of \(ABCD\) intersects at \(O\).
The ratio of the areas of the triangles \[\bigtriangleup AOB : \bigtriangleup BOC : \bigtriangleup COD : \bigtriangleup DOA \] is \(1:2:3:x\). What is \(x\)?

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