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Finding the Fourth Proportional to 10,098, 13,937.16 and 5,682

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Solution

The fourth proportional to 10,098, 13,937.16 and 5,682 is: 7,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098 : 13,937.16 = 5,682 : x
  2. Step 2: Convert to fraction form
    10,098/13,937.16 = 5,682/x
  3. Step 3: Cross multiply
    10,098x = 13,937.16 × 5,682
  4. Step 4: Simplify right side
    10,098x = 79,190,943.12
  5. Step 5: Solve for x
    x = 79,190,943.12/10,098
  6. Step 6: Final answer
    x = 7,842.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.