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Finding the Fourth Proportional to 10,796.12, 16,177.11 and 8,151.11

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Solution

The fourth proportional to 10,796.12, 16,177.11 and 8,151.11 is: 12,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.12 : 16,177.11 = 8,151.11 : x
  2. Step 2: Convert to fraction form
    10,796.12/16,177.11 = 8,151.11/x
  3. Step 3: Cross multiply
    10,796.12x = 16,177.11 × 8,151.11
  4. Step 4: Simplify right side
    10,796.12x = 131,861,403.09
  5. Step 5: Solve for x
    x = 131,861,403.09/10,796.12
  6. Step 6: Final answer
    x = 12,213.78

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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.