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Finding the Fourth Proportional to 10,507.74, 15,753.89 and 4,957.97

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Solution

The fourth proportional to 10,507.74, 15,753.89 and 4,957.97 is: 7,433.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.74 : 15,753.89 = 4,957.97 : x
  2. Step 2: Convert to fraction form
    10,507.74/15,753.89 = 4,957.97/x
  3. Step 3: Cross multiply
    10,507.74x = 15,753.89 × 4,957.97
  4. Step 4: Simplify right side
    10,507.74x = 78,107,210.44
  5. Step 5: Solve for x
    x = 78,107,210.44/10,507.74
  6. Step 6: Final answer
    x = 7,433.30

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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.