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Finding the Fourth Proportional to 12,166.62, 16,792.54 and 7,687.52

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Solution

The fourth proportional to 12,166.62, 16,792.54 and 7,687.52 is: 10,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.62 : 16,792.54 = 7,687.52 : x
  2. Step 2: Convert to fraction form
    12,166.62/16,792.54 = 7,687.52/x
  3. Step 3: Cross multiply
    12,166.62x = 16,792.54 × 7,687.52
  4. Step 4: Simplify right side
    12,166.62x = 129,092,987.10
  5. Step 5: Solve for x
    x = 129,092,987.10/12,166.62
  6. Step 6: Final answer
    x = 10,610.42

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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.