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Finding the Fourth Proportional to 6,735.40, 10,098.30 and 2,573.80

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Solution

The fourth proportional to 6,735.40, 10,098.30 and 2,573.80 is: 3,858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.40 : 10,098.30 = 2,573.80 : x
  2. Step 2: Convert to fraction form
    6,735.40/10,098.30 = 2,573.80/x
  3. Step 3: Cross multiply
    6,735.40x = 10,098.30 × 2,573.80
  4. Step 4: Simplify right side
    6,735.40x = 25,991,004.54
  5. Step 5: Solve for x
    x = 25,991,004.54/6,735.40
  6. Step 6: Final answer
    x = 3,858.87

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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.