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Finding the Fourth Proportional to 12,367.44, 17,067.08 and 6,778.64

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Solution

The fourth proportional to 12,367.44, 17,067.08 and 6,778.64 is: 9,354.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,367.44 : 17,067.08 = 6,778.64 : x
  2. Step 2: Convert to fraction form
    12,367.44/17,067.08 = 6,778.64/x
  3. Step 3: Cross multiply
    12,367.44x = 17,067.08 × 6,778.64
  4. Step 4: Simplify right side
    12,367.44x = 115,691,591.17
  5. Step 5: Solve for x
    x = 115,691,591.17/12,367.44
  6. Step 6: Final answer
    x = 9,354.53

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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.