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Finding the Fourth Proportional to 11,660.92, 16,092.05 and 6,355.73

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Solution

The fourth proportional to 11,660.92, 16,092.05 and 6,355.73 is: 8,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.92 : 16,092.05 = 6,355.73 : x
  2. Step 2: Convert to fraction form
    11,660.92/16,092.05 = 6,355.73/x
  3. Step 3: Cross multiply
    11,660.92x = 16,092.05 × 6,355.73
  4. Step 4: Simplify right side
    11,660.92x = 102,276,733.40
  5. Step 5: Solve for x
    x = 102,276,733.40/11,660.92
  6. Step 6: Final answer
    x = 8,770.90

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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.