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Finding the Fourth Proportional to 6,202.98, 9,300.96 and 2,041.87

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Solution

The fourth proportional to 6,202.98, 9,300.96 and 2,041.87 is: 3,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.98 : 9,300.96 = 2,041.87 : x
  2. Step 2: Convert to fraction form
    6,202.98/9,300.96 = 2,041.87/x
  3. Step 3: Cross multiply
    6,202.98x = 9,300.96 × 2,041.87
  4. Step 4: Simplify right side
    6,202.98x = 18,991,351.20
  5. Step 5: Solve for x
    x = 18,991,351.20/6,202.98
  6. Step 6: Final answer
    x = 3,061.65

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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.