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Finding the Fourth Proportional to 37,742.59, 56,613.66 and 9,662.59

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Solution

The fourth proportional to 37,742.59, 56,613.66 and 9,662.59 is: 14,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,742.59 : 56,613.66 = 9,662.59 : x
  2. Step 2: Convert to fraction form
    37,742.59/56,613.66 = 9,662.59/x
  3. Step 3: Cross multiply
    37,742.59x = 56,613.66 × 9,662.59
  4. Step 4: Simplify right side
    37,742.59x = 547,034,584.98
  5. Step 5: Solve for x
    x = 547,034,584.98/37,742.59
  6. Step 6: Final answer
    x = 14,493.83

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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.