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Finding the Fourth Proportional to 10,489.69, 14,472.51 and 5,951.62

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Solution

The fourth proportional to 10,489.69, 14,472.51 and 5,951.62 is: 8,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.69 : 14,472.51 = 5,951.62 : x
  2. Step 2: Convert to fraction form
    10,489.69/14,472.51 = 5,951.62/x
  3. Step 3: Cross multiply
    10,489.69x = 14,472.51 × 5,951.62
  4. Step 4: Simplify right side
    10,489.69x = 86,134,879.97
  5. Step 5: Solve for x
    x = 86,134,879.97/10,489.69
  6. Step 6: Final answer
    x = 8,211.38

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1.5x scale

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.