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Finding the Fourth Proportional to 11,197.84, 15,451.86 and 6,481.12

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Solution

The fourth proportional to 11,197.84, 15,451.86 and 6,481.12 is: 8,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.84 : 15,451.86 = 6,481.12 : x
  2. Step 2: Convert to fraction form
    11,197.84/15,451.86 = 6,481.12/x
  3. Step 3: Cross multiply
    11,197.84x = 15,451.86 × 6,481.12
  4. Step 4: Simplify right side
    11,197.84x = 100,145,358.88
  5. Step 5: Solve for x
    x = 100,145,358.88/11,197.84
  6. Step 6: Final answer
    x = 8,943.27

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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.