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Finding the Fourth Proportional to 6,234.50, 9,351.76 and 2,538.74

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Solution

The fourth proportional to 6,234.50, 9,351.76 and 2,538.74 is: 3,808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.50 : 9,351.76 = 2,538.74 : x
  2. Step 2: Convert to fraction form
    6,234.50/9,351.76 = 2,538.74/x
  3. Step 3: Cross multiply
    6,234.50x = 9,351.76 × 2,538.74
  4. Step 4: Simplify right side
    6,234.50x = 23,741,687.18
  5. Step 5: Solve for x
    x = 23,741,687.18/6,234.50
  6. Step 6: Final answer
    x = 3,808.11

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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.