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Finding the Fourth Proportional to 6,400, 8,832 and 4,540.24

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Solution

The fourth proportional to 6,400, 8,832 and 4,540.24 is: 6,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400 : 8,832 = 4,540.24 : x
  2. Step 2: Convert to fraction form
    6,400/8,832 = 4,540.24/x
  3. Step 3: Cross multiply
    6,400x = 8,832 × 4,540.24
  4. Step 4: Simplify right side
    6,400x = 40,099,399.68
  5. Step 5: Solve for x
    x = 40,099,399.68/6,400
  6. Step 6: Final answer
    x = 6,265.53

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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.