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Finding the Fourth Proportional to 6,398.07, 9,594.20 and 2,698.29

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Solution

The fourth proportional to 6,398.07, 9,594.20 and 2,698.29 is: 4,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.07 : 9,594.20 = 2,698.29 : x
  2. Step 2: Convert to fraction form
    6,398.07/9,594.20 = 2,698.29/x
  3. Step 3: Cross multiply
    6,398.07x = 9,594.20 × 2,698.29
  4. Step 4: Simplify right side
    6,398.07x = 25,887,920.43
  5. Step 5: Solve for x
    x = 25,887,920.43/6,398.07
  6. Step 6: Final answer
    x = 4,046.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.