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Finding the Fourth Proportional to 27,131.70, 40,709.70 and 9,614.10

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Solution

The fourth proportional to 27,131.70, 40,709.70 and 9,614.10 is: 14,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,131.70 : 40,709.70 = 9,614.10 : x
  2. Step 2: Convert to fraction form
    27,131.70/40,709.70 = 9,614.10/x
  3. Step 3: Cross multiply
    27,131.70x = 40,709.70 × 9,614.10
  4. Step 4: Simplify right side
    27,131.70x = 391,387,126.77
  5. Step 5: Solve for x
    x = 391,387,126.77/27,131.70
  6. Step 6: Final answer
    x = 14,425.46

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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.