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Finding the Fourth Proportional to 10,882.70, 15,019.03 and 6,102.56

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Solution

The fourth proportional to 10,882.70, 15,019.03 and 6,102.56 is: 8,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.70 : 15,019.03 = 6,102.56 : x
  2. Step 2: Convert to fraction form
    10,882.70/15,019.03 = 6,102.56/x
  3. Step 3: Cross multiply
    10,882.70x = 15,019.03 × 6,102.56
  4. Step 4: Simplify right side
    10,882.70x = 91,654,531.72
  5. Step 5: Solve for x
    x = 91,654,531.72/10,882.70
  6. Step 6: Final answer
    x = 8,422.04

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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.