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Finding the Fourth Proportional to 11,375.92, 17,049.12 and 5,824.64

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Solution

The fourth proportional to 11,375.92, 17,049.12 and 5,824.64 is: 8,729.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.92 : 17,049.12 = 5,824.64 : x
  2. Step 2: Convert to fraction form
    11,375.92/17,049.12 = 5,824.64/x
  3. Step 3: Cross multiply
    11,375.92x = 17,049.12 × 5,824.64
  4. Step 4: Simplify right side
    11,375.92x = 99,304,986.32
  5. Step 5: Solve for x
    x = 99,304,986.32/11,375.92
  6. Step 6: Final answer
    x = 8,729.40

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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.