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Finding the Fourth Proportional to 12,368, 17,067.86 and 6,778.88

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Solution

The fourth proportional to 12,368, 17,067.86 and 6,778.88 is: 9,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368 : 17,067.86 = 6,778.88 : x
  2. Step 2: Convert to fraction form
    12,368/17,067.86 = 6,778.88/x
  3. Step 3: Cross multiply
    12,368x = 17,067.86 × 6,778.88
  4. Step 4: Simplify right side
    12,368x = 115,700,974.80
  5. Step 5: Solve for x
    x = 115,700,974.80/12,368
  6. Step 6: Final answer
    x = 9,354.87

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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.