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Finding the Fourth Proportional to 6,398.26, 9,594.47 and 2,698.47

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Solution

The fourth proportional to 6,398.26, 9,594.47 and 2,698.47 is: 4,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.26 : 9,594.47 = 2,698.47 : x
  2. Step 2: Convert to fraction form
    6,398.26/9,594.47 = 2,698.47/x
  3. Step 3: Cross multiply
    6,398.26x = 9,594.47 × 2,698.47
  4. Step 4: Simplify right side
    6,398.26x = 25,890,396.21
  5. Step 5: Solve for x
    x = 25,890,396.21/6,398.26
  6. Step 6: Final answer
    x = 4,046.48

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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.