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Finding the Fourth Proportional to 6,132, 9,198.24 and 2,436

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Solution

The fourth proportional to 6,132, 9,198.24 and 2,436 is: 3,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132 : 9,198.24 = 2,436 : x
  2. Step 2: Convert to fraction form
    6,132/9,198.24 = 2,436/x
  3. Step 3: Cross multiply
    6,132x = 9,198.24 × 2,436
  4. Step 4: Simplify right side
    6,132x = 22,406,912.64
  5. Step 5: Solve for x
    x = 22,406,912.64/6,132
  6. Step 6: Final answer
    x = 3,654.10

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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.