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Finding the Fourth Proportional to 12,166.50, 16,792.22 and 6,861.42

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Solution

The fourth proportional to 12,166.50, 16,792.22 and 6,861.42 is: 9,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166.50 : 16,792.22 = 6,861.42 : x
  2. Step 2: Convert to fraction form
    12,166.50/16,792.22 = 6,861.42/x
  3. Step 3: Cross multiply
    12,166.50x = 16,792.22 × 6,861.42
  4. Step 4: Simplify right side
    12,166.50x = 115,218,439.85
  5. Step 5: Solve for x
    x = 115,218,439.85/12,166.50
  6. Step 6: Final answer
    x = 9,470.14

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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.