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Finding the Fourth Proportional to 12,167.14, 16,790.68 and 6,578.14

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Solution

The fourth proportional to 12,167.14, 16,790.68 and 6,578.14 is: 9,077.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.14 : 16,790.68 = 6,578.14 : x
  2. Step 2: Convert to fraction form
    12,167.14/16,790.68 = 6,578.14/x
  3. Step 3: Cross multiply
    12,167.14x = 16,790.68 × 6,578.14
  4. Step 4: Simplify right side
    12,167.14x = 110,451,443.74
  5. Step 5: Solve for x
    x = 110,451,443.74/12,167.14
  6. Step 6: Final answer
    x = 9,077.85

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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.