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Finding the Fourth Proportional to 10,493.77, 14,471.42 and 8,099.92

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Solution

The fourth proportional to 10,493.77, 14,471.42 and 8,099.92 is: 11,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.77 : 14,471.42 = 8,099.92 : x
  2. Step 2: Convert to fraction form
    10,493.77/14,471.42 = 8,099.92/x
  3. Step 3: Cross multiply
    10,493.77x = 14,471.42 × 8,099.92
  4. Step 4: Simplify right side
    10,493.77x = 117,217,267.61
  5. Step 5: Solve for x
    x = 117,217,267.61/10,493.77
  6. Step 6: Final answer
    x = 11,170.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.