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Finding the Fourth Proportional to 10,507.66, 15,761.49 and 4,963.61

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Solution

The fourth proportional to 10,507.66, 15,761.49 and 4,963.61 is: 7,445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.66 : 15,761.49 = 4,963.61 : x
  2. Step 2: Convert to fraction form
    10,507.66/15,761.49 = 4,963.61/x
  3. Step 3: Cross multiply
    10,507.66x = 15,761.49 × 4,963.61
  4. Step 4: Simplify right side
    10,507.66x = 78,233,910.17
  5. Step 5: Solve for x
    x = 78,233,910.17/10,507.66
  6. Step 6: Final answer
    x = 7,445.42

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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.