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Finding the Fourth Proportional to 8,006.67, 11,049.12 and 4,470.75

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Solution

The fourth proportional to 8,006.67, 11,049.12 and 4,470.75 is: 6,169.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.67 : 11,049.12 = 4,470.75 : x
  2. Step 2: Convert to fraction form
    8,006.67/11,049.12 = 4,470.75/x
  3. Step 3: Cross multiply
    8,006.67x = 11,049.12 × 4,470.75
  4. Step 4: Simplify right side
    8,006.67x = 49,397,853.24
  5. Step 5: Solve for x
    x = 49,397,853.24/8,006.67
  6. Step 6: Final answer
    x = 6,169.59

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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.