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Finding the Fourth Proportional to 10,096, 15,143.86 and 3,522.16

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Solution

The fourth proportional to 10,096, 15,143.86 and 3,522.16 is: 5,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096 : 15,143.86 = 3,522.16 : x
  2. Step 2: Convert to fraction form
    10,096/15,143.86 = 3,522.16/x
  3. Step 3: Cross multiply
    10,096x = 15,143.86 × 3,522.16
  4. Step 4: Simplify right side
    10,096x = 53,339,097.94
  5. Step 5: Solve for x
    x = 53,339,097.94/10,096
  6. Step 6: Final answer
    x = 5,283.19

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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.