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Finding the Fourth Proportional to 7,174.50, 10,778.66 and 4,220.50

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Solution

The fourth proportional to 7,174.50, 10,778.66 and 4,220.50 is: 6,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.50 : 10,778.66 = 4,220.50 : x
  2. Step 2: Convert to fraction form
    7,174.50/10,778.66 = 4,220.50/x
  3. Step 3: Cross multiply
    7,174.50x = 10,778.66 × 4,220.50
  4. Step 4: Simplify right side
    7,174.50x = 45,491,334.53
  5. Step 5: Solve for x
    x = 45,491,334.53/7,174.50
  6. Step 6: Final answer
    x = 6,340.70

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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.