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Finding the Fourth Proportional to 10,174.89, 15,234.99 and 6,456.99

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Solution

The fourth proportional to 10,174.89, 15,234.99 and 6,456.99 is: 9,668.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.89 : 15,234.99 = 6,456.99 : x
  2. Step 2: Convert to fraction form
    10,174.89/15,234.99 = 6,456.99/x
  3. Step 3: Cross multiply
    10,174.89x = 15,234.99 × 6,456.99
  4. Step 4: Simplify right side
    10,174.89x = 98,372,178.08
  5. Step 5: Solve for x
    x = 98,372,178.08/10,174.89
  6. Step 6: Final answer
    x = 9,668.13

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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.