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Finding the Fourth Proportional to 6,751.50, 10,122.82 and 3,241.41

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Solution

The fourth proportional to 6,751.50, 10,122.82 and 3,241.41 is: 4,859.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.50 : 10,122.82 = 3,241.41 : x
  2. Step 2: Convert to fraction form
    6,751.50/10,122.82 = 3,241.41/x
  3. Step 3: Cross multiply
    6,751.50x = 10,122.82 × 3,241.41
  4. Step 4: Simplify right side
    6,751.50x = 32,812,209.98
  5. Step 5: Solve for x
    x = 32,812,209.98/6,751.50
  6. Step 6: Final answer
    x = 4,859.99

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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.