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Finding the Fourth Proportional to 6,551.50, 9,831.66 and 2,447.50

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Solution

The fourth proportional to 6,551.50, 9,831.66 and 2,447.50 is: 3,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.50 : 9,831.66 = 2,447.50 : x
  2. Step 2: Convert to fraction form
    6,551.50/9,831.66 = 2,447.50/x
  3. Step 3: Cross multiply
    6,551.50x = 9,831.66 × 2,447.50
  4. Step 4: Simplify right side
    6,551.50x = 24,062,987.85
  5. Step 5: Solve for x
    x = 24,062,987.85/6,551.50
  6. Step 6: Final answer
    x = 3,672.90

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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.