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Finding the Fourth Proportional to 11,675.88, 16,099.92 and 7,892.46

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Solution

The fourth proportional to 11,675.88, 16,099.92 and 7,892.46 is: 10,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.88 : 16,099.92 = 7,892.46 : x
  2. Step 2: Convert to fraction form
    11,675.88/16,099.92 = 7,892.46/x
  3. Step 3: Cross multiply
    11,675.88x = 16,099.92 × 7,892.46
  4. Step 4: Simplify right side
    11,675.88x = 127,067,974.60
  5. Step 5: Solve for x
    x = 127,067,974.60/11,675.88
  6. Step 6: Final answer
    x = 10,882.95

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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.