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Finding the Fourth Proportional to 10,155.88, 15,234.14 and 6,049

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Solution

The fourth proportional to 10,155.88, 15,234.14 and 6,049 is: 9,073.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.88 : 15,234.14 = 6,049 : x
  2. Step 2: Convert to fraction form
    10,155.88/15,234.14 = 6,049/x
  3. Step 3: Cross multiply
    10,155.88x = 15,234.14 × 6,049
  4. Step 4: Simplify right side
    10,155.88x = 92,151,312.86
  5. Step 5: Solve for x
    x = 92,151,312.86/10,155.88
  6. Step 6: Final answer
    x = 9,073.69

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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.