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Finding the Fourth Proportional to 10,866.66, 14,996.03 and 6,151.85

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Solution

The fourth proportional to 10,866.66, 14,996.03 and 6,151.85 is: 8,489.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.66 : 14,996.03 = 6,151.85 : x
  2. Step 2: Convert to fraction form
    10,866.66/14,996.03 = 6,151.85/x
  3. Step 3: Cross multiply
    10,866.66x = 14,996.03 × 6,151.85
  4. Step 4: Simplify right side
    10,866.66x = 92,253,327.16
  5. Step 5: Solve for x
    x = 92,253,327.16/10,866.66
  6. Step 6: Final answer
    x = 8,489.58

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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.