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Finding the Fourth Proportional to 10,651.91, 15,960.38 and 6,479.33

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Solution

The fourth proportional to 10,651.91, 15,960.38 and 6,479.33 is: 9,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.91 : 15,960.38 = 6,479.33 : x
  2. Step 2: Convert to fraction form
    10,651.91/15,960.38 = 6,479.33/x
  3. Step 3: Cross multiply
    10,651.91x = 15,960.38 × 6,479.33
  4. Step 4: Simplify right side
    10,651.91x = 103,412,456.75
  5. Step 5: Solve for x
    x = 103,412,456.75/10,651.91
  6. Step 6: Final answer
    x = 9,708.35

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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.