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Finding the Fourth Proportional to 37,668.38, 56,502.56 and 9,966.38

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Solution

The fourth proportional to 37,668.38, 56,502.56 and 9,966.38 is: 14,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,668.38 : 56,502.56 = 9,966.38 : x
  2. Step 2: Convert to fraction form
    37,668.38/56,502.56 = 9,966.38/x
  3. Step 3: Cross multiply
    37,668.38x = 56,502.56 × 9,966.38
  4. Step 4: Simplify right side
    37,668.38x = 563,125,726.34
  5. Step 5: Solve for x
    x = 563,125,726.34/37,668.38
  6. Step 6: Final answer
    x = 14,949.56

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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.