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Finding the Fourth Proportional to 6,493.70, 9,745.60 and 2,600.66

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Solution

The fourth proportional to 6,493.70, 9,745.60 and 2,600.66 is: 3,903.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.70 : 9,745.60 = 2,600.66 : x
  2. Step 2: Convert to fraction form
    6,493.70/9,745.60 = 2,600.66/x
  3. Step 3: Cross multiply
    6,493.70x = 9,745.60 × 2,600.66
  4. Step 4: Simplify right side
    6,493.70x = 25,344,992.10
  5. Step 5: Solve for x
    x = 25,344,992.10/6,493.70
  6. Step 6: Final answer
    x = 3,903.01

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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.