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Finding the Fourth Proportional to 12,098.43, 16,680.18 and 7,842.03

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Solution

The fourth proportional to 12,098.43, 16,680.18 and 7,842.03 is: 10,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.43 : 16,680.18 = 7,842.03 : x
  2. Step 2: Convert to fraction form
    12,098.43/16,680.18 = 7,842.03/x
  3. Step 3: Cross multiply
    12,098.43x = 16,680.18 × 7,842.03
  4. Step 4: Simplify right side
    12,098.43x = 130,806,471.97
  5. Step 5: Solve for x
    x = 130,806,471.97/12,098.43
  6. Step 6: Final answer
    x = 10,811.86

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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.