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Finding the Fourth Proportional to 12,167.75, 16,791.50 and 6,578.75

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Solution

The fourth proportional to 12,167.75, 16,791.50 and 6,578.75 is: 9,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.75 : 16,791.50 = 6,578.75 : x
  2. Step 2: Convert to fraction form
    12,167.75/16,791.50 = 6,578.75/x
  3. Step 3: Cross multiply
    12,167.75x = 16,791.50 × 6,578.75
  4. Step 4: Simplify right side
    12,167.75x = 110,467,080.63
  5. Step 5: Solve for x
    x = 110,467,080.63/12,167.75
  6. Step 6: Final answer
    x = 9,078.68

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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.