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Finding the Fourth Proportional to 8,007, 11,049.72 and 4,470.24

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Solution

The fourth proportional to 8,007, 11,049.72 and 4,470.24 is: 6,168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007 : 11,049.72 = 4,470.24 : x
  2. Step 2: Convert to fraction form
    8,007/11,049.72 = 4,470.24/x
  3. Step 3: Cross multiply
    8,007x = 11,049.72 × 4,470.24
  4. Step 4: Simplify right side
    8,007x = 49,394,900.33
  5. Step 5: Solve for x
    x = 49,394,900.33/8,007
  6. Step 6: Final answer
    x = 6,168.96

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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.