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Finding the Fourth Proportional to 8,067.28, 11,134.92 and 6,834.64

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Solution

The fourth proportional to 8,067.28, 11,134.92 and 6,834.64 is: 9,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.28 : 11,134.92 = 6,834.64 : x
  2. Step 2: Convert to fraction form
    8,067.28/11,134.92 = 6,834.64/x
  3. Step 3: Cross multiply
    8,067.28x = 11,134.92 × 6,834.64
  4. Step 4: Simplify right side
    8,067.28x = 76,103,169.63
  5. Step 5: Solve for x
    x = 76,103,169.63/8,067.28
  6. Step 6: Final answer
    x = 9,433.56

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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.