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Finding the Fourth Proportional to 7,314.80, 10,969.80 and 2,697.20

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Solution

The fourth proportional to 7,314.80, 10,969.80 and 2,697.20 is: 4,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.80 : 10,969.80 = 2,697.20 : x
  2. Step 2: Convert to fraction form
    7,314.80/10,969.80 = 2,697.20/x
  3. Step 3: Cross multiply
    7,314.80x = 10,969.80 × 2,697.20
  4. Step 4: Simplify right side
    7,314.80x = 29,587,744.56
  5. Step 5: Solve for x
    x = 29,587,744.56/7,314.80
  6. Step 6: Final answer
    x = 4,044.92

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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.