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Finding the Fourth Proportional to 6,732, 10,098 and 2,115.12

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Solution

The fourth proportional to 6,732, 10,098 and 2,115.12 is: 3,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732 : 10,098 = 2,115.12 : x
  2. Step 2: Convert to fraction form
    6,732/10,098 = 2,115.12/x
  3. Step 3: Cross multiply
    6,732x = 10,098 × 2,115.12
  4. Step 4: Simplify right side
    6,732x = 21,358,481.76
  5. Step 5: Solve for x
    x = 21,358,481.76/6,732
  6. Step 6: Final answer
    x = 3,172.68

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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.