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Finding the Fourth Proportional to 37,742.60, 56,613.90 and 9,662.60

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Solution

The fourth proportional to 37,742.60, 56,613.90 and 9,662.60 is: 14,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,742.60 : 56,613.90 = 9,662.60 : x
  2. Step 2: Convert to fraction form
    37,742.60/56,613.90 = 9,662.60/x
  3. Step 3: Cross multiply
    37,742.60x = 56,613.90 × 9,662.60
  4. Step 4: Simplify right side
    37,742.60x = 547,037,470.14
  5. Step 5: Solve for x
    x = 547,037,470.14/37,742.60
  6. Step 6: Final answer
    x = 14,493.90

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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.