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Finding the Fourth Proportional to 11,471.84, 17,207.76 and 3,152.73

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Solution

The fourth proportional to 11,471.84, 17,207.76 and 3,152.73 is: 4,729.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.84 : 17,207.76 = 3,152.73 : x
  2. Step 2: Convert to fraction form
    11,471.84/17,207.76 = 3,152.73/x
  3. Step 3: Cross multiply
    11,471.84x = 17,207.76 × 3,152.73
  4. Step 4: Simplify right side
    11,471.84x = 54,251,497.54
  5. Step 5: Solve for x
    x = 54,251,497.54/11,471.84
  6. Step 6: Final answer
    x = 4,729.10

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Similar ratio
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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.