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Finding the Fourth Proportional to 10,996.98, 15,174.99 and 6,520.38

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Solution

The fourth proportional to 10,996.98, 15,174.99 and 6,520.38 is: 8,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.98 : 15,174.99 = 6,520.38 : x
  2. Step 2: Convert to fraction form
    10,996.98/15,174.99 = 6,520.38/x
  3. Step 3: Cross multiply
    10,996.98x = 15,174.99 × 6,520.38
  4. Step 4: Simplify right side
    10,996.98x = 98,946,701.30
  5. Step 5: Solve for x
    x = 98,946,701.30/10,996.98
  6. Step 6: Final answer
    x = 8,997.62

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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.