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Finding the Fourth Proportional to 9,691.04, 14,542.08 and 8,067.24

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Solution

The fourth proportional to 9,691.04, 14,542.08 and 8,067.24 is: 12,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.04 : 14,542.08 = 8,067.24 : x
  2. Step 2: Convert to fraction form
    9,691.04/14,542.08 = 8,067.24/x
  3. Step 3: Cross multiply
    9,691.04x = 14,542.08 × 8,067.24
  4. Step 4: Simplify right side
    9,691.04x = 117,314,449.46
  5. Step 5: Solve for x
    x = 117,314,449.46/9,691.04
  6. Step 6: Final answer
    x = 12,105.46

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1.5x scale

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.