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Finding the Fourth Proportional to 10,098, 15,147 and 3,522.42

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Solution

The fourth proportional to 10,098, 15,147 and 3,522.42 is: 5,283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098 : 15,147 = 3,522.42 : x
  2. Step 2: Convert to fraction form
    10,098/15,147 = 3,522.42/x
  3. Step 3: Cross multiply
    10,098x = 15,147 × 3,522.42
  4. Step 4: Simplify right side
    10,098x = 53,354,095.74
  5. Step 5: Solve for x
    x = 53,354,095.74/10,098
  6. Step 6: Final answer
    x = 5,283.63

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Double scale
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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.