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Finding the Fourth Proportional to 12,167.46, 16,791.06 and 6,578.46

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Solution

The fourth proportional to 12,167.46, 16,791.06 and 6,578.46 is: 9,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.46 : 16,791.06 = 6,578.46 : x
  2. Step 2: Convert to fraction form
    12,167.46/16,791.06 = 6,578.46/x
  3. Step 3: Cross multiply
    12,167.46x = 16,791.06 × 6,578.46
  4. Step 4: Simplify right side
    12,167.46x = 110,459,316.57
  5. Step 5: Solve for x
    x = 110,459,316.57/12,167.46
  6. Step 6: Final answer
    x = 9,078.26

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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.