Scales 1, 2 and 3 are perfectly balanced. How many triangles are needed to balance scale 4?
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Four triangles. Scale 1 shows that one triangle equals three circles, so two triangles equal six circles. Since scale 2 shows that two circles equal one square, six circles equal three squares, and eight triangles equal 12 squares. Four squares equal two diamonds on scale 3, so 12 squares equal six diamonds, four triangles equal three diamonds to balance scale 4.