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Finding the Fourth Proportional to 20,462.68, 30,691.86 and 7,314.76

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Solution

The fourth proportional to 20,462.68, 30,691.86 and 7,314.76 is: 10,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,462.68 : 30,691.86 = 7,314.76 : x
  2. Step 2: Convert to fraction form
    20,462.68/30,691.86 = 7,314.76/x
  3. Step 3: Cross multiply
    20,462.68x = 30,691.86 × 7,314.76
  4. Step 4: Simplify right side
    20,462.68x = 224,503,589.85
  5. Step 5: Solve for x
    x = 224,503,589.85/20,462.68
  6. Step 6: Final answer
    x = 10,971.37

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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.