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Finding the Fourth Proportional to 41,097.31, 61,645.98 and 9,932.56

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Solution

The fourth proportional to 41,097.31, 61,645.98 and 9,932.56 is: 14,898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,097.31 : 61,645.98 = 9,932.56 : x
  2. Step 2: Convert to fraction form
    41,097.31/61,645.98 = 9,932.56/x
  3. Step 3: Cross multiply
    41,097.31x = 61,645.98 × 9,932.56
  4. Step 4: Simplify right side
    41,097.31x = 612,302,395.11
  5. Step 5: Solve for x
    x = 612,302,395.11/41,097.31
  6. Step 6: Final answer
    x = 14,898.84

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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.