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Finding the Fourth Proportional to 6,098.25, 9,147.51 and 2,980.83

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Solution

The fourth proportional to 6,098.25, 9,147.51 and 2,980.83 is: 4,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.25 : 9,147.51 = 2,980.83 : x
  2. Step 2: Convert to fraction form
    6,098.25/9,147.51 = 2,980.83/x
  3. Step 3: Cross multiply
    6,098.25x = 9,147.51 × 2,980.83
  4. Step 4: Simplify right side
    6,098.25x = 27,267,172.23
  5. Step 5: Solve for x
    x = 27,267,172.23/6,098.25
  6. Step 6: Final answer
    x = 4,471.31

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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.