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Finding the Fourth Proportional to 6,226.50, 9,338.76 and 2,527.80

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Solution

The fourth proportional to 6,226.50, 9,338.76 and 2,527.80 is: 3,791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.50 : 9,338.76 = 2,527.80 : x
  2. Step 2: Convert to fraction form
    6,226.50/9,338.76 = 2,527.80/x
  3. Step 3: Cross multiply
    6,226.50x = 9,338.76 × 2,527.80
  4. Step 4: Simplify right side
    6,226.50x = 23,606,517.53
  5. Step 5: Solve for x
    x = 23,606,517.53/6,226.50
  6. Step 6: Final answer
    x = 3,791.30

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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.