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Finding the Fourth Proportional to 6,494.06, 9,735.60 and 2,601.20

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Solution

The fourth proportional to 6,494.06, 9,735.60 and 2,601.20 is: 3,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.06 : 9,735.60 = 2,601.20 : x
  2. Step 2: Convert to fraction form
    6,494.06/9,735.60 = 2,601.20/x
  3. Step 3: Cross multiply
    6,494.06x = 9,735.60 × 2,601.20
  4. Step 4: Simplify right side
    6,494.06x = 25,324,242.72
  5. Step 5: Solve for x
    x = 25,324,242.72/6,494.06
  6. Step 6: Final answer
    x = 3,899.60

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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.