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Finding the Fourth Proportional to 6,159.84, 9,239.82 and 2,463

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Solution

The fourth proportional to 6,159.84, 9,239.82 and 2,463 is: 3,694.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.84 : 9,239.82 = 2,463 : x
  2. Step 2: Convert to fraction form
    6,159.84/9,239.82 = 2,463/x
  3. Step 3: Cross multiply
    6,159.84x = 9,239.82 × 2,463
  4. Step 4: Simplify right side
    6,159.84x = 22,757,676.66
  5. Step 5: Solve for x
    x = 22,757,676.66/6,159.84
  6. Step 6: Final answer
    x = 3,694.52

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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.