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Finding the Fourth Proportional to 6,156, 9,234 and 2,459.88

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Solution

The fourth proportional to 6,156, 9,234 and 2,459.88 is: 3,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156 : 9,234 = 2,459.88 : x
  2. Step 2: Convert to fraction form
    6,156/9,234 = 2,459.88/x
  3. Step 3: Cross multiply
    6,156x = 9,234 × 2,459.88
  4. Step 4: Simplify right side
    6,156x = 22,714,531.92
  5. Step 5: Solve for x
    x = 22,714,531.92/6,156
  6. Step 6: Final answer
    x = 3,689.82

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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.