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Finding the Fourth Proportional to 6,574.38, 9,861 and 2,414.22

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Solution

The fourth proportional to 6,574.38, 9,861 and 2,414.22 is: 3,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.38 : 9,861 = 2,414.22 : x
  2. Step 2: Convert to fraction form
    6,574.38/9,861 = 2,414.22/x
  3. Step 3: Cross multiply
    6,574.38x = 9,861 × 2,414.22
  4. Step 4: Simplify right side
    6,574.38x = 23,806,623.42
  5. Step 5: Solve for x
    x = 23,806,623.42/6,574.38
  6. Step 6: Final answer
    x = 3,621.12

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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.