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Finding the Fourth Proportional to 10,473.92, 15,713.20 and 5,800.76

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Solution

The fourth proportional to 10,473.92, 15,713.20 and 5,800.76 is: 8,702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.92 : 15,713.20 = 5,800.76 : x
  2. Step 2: Convert to fraction form
    10,473.92/15,713.20 = 5,800.76/x
  3. Step 3: Cross multiply
    10,473.92x = 15,713.20 × 5,800.76
  4. Step 4: Simplify right side
    10,473.92x = 91,148,502.03
  5. Step 5: Solve for x
    x = 91,148,502.03/10,473.92
  6. Step 6: Final answer
    x = 8,702.42

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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.