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Finding the Fourth Proportional to 11,773.38, 16,251.53 and 7,795.78

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Solution

The fourth proportional to 11,773.38, 16,251.53 and 7,795.78 is: 10,761.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.38 : 16,251.53 = 7,795.78 : x
  2. Step 2: Convert to fraction form
    11,773.38/16,251.53 = 7,795.78/x
  3. Step 3: Cross multiply
    11,773.38x = 16,251.53 × 7,795.78
  4. Step 4: Simplify right side
    11,773.38x = 126,693,331.40
  5. Step 5: Solve for x
    x = 126,693,331.40/11,773.38
  6. Step 6: Final answer
    x = 10,761.00

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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.