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Finding the Fourth Proportional to 6,462, 8,915.32 and 3,628.98

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Solution

The fourth proportional to 6,462, 8,915.32 and 3,628.98 is: 5,006.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462 : 8,915.32 = 3,628.98 : x
  2. Step 2: Convert to fraction form
    6,462/8,915.32 = 3,628.98/x
  3. Step 3: Cross multiply
    6,462x = 8,915.32 × 3,628.98
  4. Step 4: Simplify right side
    6,462x = 32,353,517.97
  5. Step 5: Solve for x
    x = 32,353,517.97/6,462
  6. Step 6: Final answer
    x = 5,006.73

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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.