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Finding the Fourth Proportional to 6,694.38, 9,226.70 and 4,452.24

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Solution

The fourth proportional to 6,694.38, 9,226.70 and 4,452.24 is: 6,136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.38 : 9,226.70 = 4,452.24 : x
  2. Step 2: Convert to fraction form
    6,694.38/9,226.70 = 4,452.24/x
  3. Step 3: Cross multiply
    6,694.38x = 9,226.70 × 4,452.24
  4. Step 4: Simplify right side
    6,694.38x = 41,079,482.81
  5. Step 5: Solve for x
    x = 41,079,482.81/6,694.38
  6. Step 6: Final answer
    x = 6,136.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.