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Finding the Fourth Proportional to 6,353.44, 9,532.66 and 4,600.64

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Solution

The fourth proportional to 6,353.44, 9,532.66 and 4,600.64 is: 6,902.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.44 : 9,532.66 = 4,600.64 : x
  2. Step 2: Convert to fraction form
    6,353.44/9,532.66 = 4,600.64/x
  3. Step 3: Cross multiply
    6,353.44x = 9,532.66 × 4,600.64
  4. Step 4: Simplify right side
    6,353.44x = 43,856,336.90
  5. Step 5: Solve for x
    x = 43,856,336.90/6,353.44
  6. Step 6: Final answer
    x = 6,902.77

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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.