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Finding the Fourth Proportional to 6,842.20, 10,250.70 and 3,911.80

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Solution

The fourth proportional to 6,842.20, 10,250.70 and 3,911.80 is: 5,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.20 : 10,250.70 = 3,911.80 : x
  2. Step 2: Convert to fraction form
    6,842.20/10,250.70 = 3,911.80/x
  3. Step 3: Cross multiply
    6,842.20x = 10,250.70 × 3,911.80
  4. Step 4: Simplify right side
    6,842.20x = 40,098,688.26
  5. Step 5: Solve for x
    x = 40,098,688.26/6,842.20
  6. Step 6: Final answer
    x = 5,860.50

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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.