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Finding the Fourth Proportional to 6,349.26, 9,522 and 2,452.74

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Solution

The fourth proportional to 6,349.26, 9,522 and 2,452.74 is: 3,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.26 : 9,522 = 2,452.74 : x
  2. Step 2: Convert to fraction form
    6,349.26/9,522 = 2,452.74/x
  3. Step 3: Cross multiply
    6,349.26x = 9,522 × 2,452.74
  4. Step 4: Simplify right side
    6,349.26x = 23,354,990.28
  5. Step 5: Solve for x
    x = 23,354,990.28/6,349.26
  6. Step 6: Final answer
    x = 3,678.38

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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.