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Finding the Fourth Proportional to 10,098.16, 15,149.92 and 7,194.88

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Solution

The fourth proportional to 10,098.16, 15,149.92 and 7,194.88 is: 10,794.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,098.16 : 15,149.92 = 7,194.88 : x
  2. Step 2: Convert to fraction form
    10,098.16/15,149.92 = 7,194.88/x
  3. Step 3: Cross multiply
    10,098.16x = 15,149.92 × 7,194.88
  4. Step 4: Simplify right side
    10,098.16x = 109,001,856.41
  5. Step 5: Solve for x
    x = 109,001,856.41/10,098.16
  6. Step 6: Final answer
    x = 10,794.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.