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Finding the Fourth Proportional to 7,642.92, 11,464.22 and 2,448.36

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Solution

The fourth proportional to 7,642.92, 11,464.22 and 2,448.36 is: 3,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.92 : 11,464.22 = 2,448.36 : x
  2. Step 2: Convert to fraction form
    7,642.92/11,464.22 = 2,448.36/x
  3. Step 3: Cross multiply
    7,642.92x = 11,464.22 × 2,448.36
  4. Step 4: Simplify right side
    7,642.92x = 28,068,537.68
  5. Step 5: Solve for x
    x = 28,068,537.68/7,642.92
  6. Step 6: Final answer
    x = 3,672.49

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.