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Finding the Fourth Proportional to 6,480.60, 9,722.45 and 2,098.06

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Solution

The fourth proportional to 6,480.60, 9,722.45 and 2,098.06 is: 3,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.60 : 9,722.45 = 2,098.06 : x
  2. Step 2: Convert to fraction form
    6,480.60/9,722.45 = 2,098.06/x
  3. Step 3: Cross multiply
    6,480.60x = 9,722.45 × 2,098.06
  4. Step 4: Simplify right side
    6,480.60x = 20,398,283.45
  5. Step 5: Solve for x
    x = 20,398,283.45/6,480.60
  6. Step 6: Final answer
    x = 3,147.59

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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.