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Finding the Fourth Proportional to 6,234, 9,351 and 1,617

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Solution

The fourth proportional to 6,234, 9,351 and 1,617 is: 2,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234 : 9,351 = 1,617 : x
  2. Step 2: Convert to fraction form
    6,234/9,351 = 1,617/x
  3. Step 3: Cross multiply
    6,234x = 9,351 × 1,617
  4. Step 4: Simplify right side
    6,234x = 15,120,567
  5. Step 5: Solve for x
    x = 15,120,567/6,234
  6. Step 6: Final answer
    x = 2,425.50

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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.