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Finding the Fourth Proportional to 11,414.78, 15,754.48 and 6,635.38

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Solution

The fourth proportional to 11,414.78, 15,754.48 and 6,635.38 is: 9,158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.78 : 15,754.48 = 6,635.38 : x
  2. Step 2: Convert to fraction form
    11,414.78/15,754.48 = 6,635.38/x
  3. Step 3: Cross multiply
    11,414.78x = 15,754.48 × 6,635.38
  4. Step 4: Simplify right side
    11,414.78x = 104,536,961.50
  5. Step 5: Solve for x
    x = 104,536,961.50/11,414.78
  6. Step 6: Final answer
    x = 9,158.04

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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.