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Finding the Fourth Proportional to 12,167.25, 16,793.25 and 6,862.17

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Solution

The fourth proportional to 12,167.25, 16,793.25 and 6,862.17 is: 9,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.25 : 16,793.25 = 6,862.17 : x
  2. Step 2: Convert to fraction form
    12,167.25/16,793.25 = 6,862.17/x
  3. Step 3: Cross multiply
    12,167.25x = 16,793.25 × 6,862.17
  4. Step 4: Simplify right side
    12,167.25x = 115,238,136.35
  5. Step 5: Solve for x
    x = 115,238,136.35/12,167.25
  6. Step 6: Final answer
    x = 9,471.17

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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.