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Finding the Fourth Proportional to 11,697.16, 17,481.05 and 10,478.92

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Solution

The fourth proportional to 11,697.16, 17,481.05 and 10,478.92 is: 15,660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.16 : 17,481.05 = 10,478.92 : x
  2. Step 2: Convert to fraction form
    11,697.16/17,481.05 = 10,478.92/x
  3. Step 3: Cross multiply
    11,697.16x = 17,481.05 × 10,478.92
  4. Step 4: Simplify right side
    11,697.16x = 183,182,524.47
  5. Step 5: Solve for x
    x = 183,182,524.47/11,697.16
  6. Step 6: Final answer
    x = 15,660.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.