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Finding the Fourth Proportional to 12,167.55, 16,791.21 and 6,578.55

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Solution

The fourth proportional to 12,167.55, 16,791.21 and 6,578.55 is: 9,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.55 : 16,791.21 = 6,578.55 : x
  2. Step 2: Convert to fraction form
    12,167.55/16,791.21 = 6,578.55/x
  3. Step 3: Cross multiply
    12,167.55x = 16,791.21 × 6,578.55
  4. Step 4: Simplify right side
    12,167.55x = 110,461,814.55
  5. Step 5: Solve for x
    x = 110,461,814.55/12,167.55
  6. Step 6: Final answer
    x = 9,078.39

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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.