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Finding the Fourth Proportional to 6,820.50, 10,228.50 and 2,202.42

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Solution

The fourth proportional to 6,820.50, 10,228.50 and 2,202.42 is: 3,302.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.50 : 10,228.50 = 2,202.42 : x
  2. Step 2: Convert to fraction form
    6,820.50/10,228.50 = 2,202.42/x
  3. Step 3: Cross multiply
    6,820.50x = 10,228.50 × 2,202.42
  4. Step 4: Simplify right side
    6,820.50x = 22,527,452.97
  5. Step 5: Solve for x
    x = 22,527,452.97/6,820.50
  6. Step 6: Final answer
    x = 3,302.90

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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.