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Finding the Fourth Proportional to 6,540.50, 9,811.97 and 2,647.64

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Solution

The fourth proportional to 6,540.50, 9,811.97 and 2,647.64 is: 3,971.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.50 : 9,811.97 = 2,647.64 : x
  2. Step 2: Convert to fraction form
    6,540.50/9,811.97 = 2,647.64/x
  3. Step 3: Cross multiply
    6,540.50x = 9,811.97 × 2,647.64
  4. Step 4: Simplify right side
    6,540.50x = 25,978,501.95
  5. Step 5: Solve for x
    x = 25,978,501.95/6,540.50
  6. Step 6: Final answer
    x = 3,971.95

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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.