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Finding the Fourth Proportional to 11,766.75, 17,657.42 and 6,838.71

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Solution

The fourth proportional to 11,766.75, 17,657.42 and 6,838.71 is: 10,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.75 : 17,657.42 = 6,838.71 : x
  2. Step 2: Convert to fraction form
    11,766.75/17,657.42 = 6,838.71/x
  3. Step 3: Cross multiply
    11,766.75x = 17,657.42 × 6,838.71
  4. Step 4: Simplify right side
    11,766.75x = 120,753,974.73
  5. Step 5: Solve for x
    x = 120,753,974.73/11,766.75
  6. Step 6: Final answer
    x = 10,262.30

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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.