# 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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