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Finding the Fourth Proportional to 6,511.87, 9,767.53 and 1,831.60

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Solution

The fourth proportional to 6,511.87, 9,767.53 and 1,831.60 is: 2,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.87 : 9,767.53 = 1,831.60 : x
  2. Step 2: Convert to fraction form
    6,511.87/9,767.53 = 1,831.60/x
  3. Step 3: Cross multiply
    6,511.87x = 9,767.53 × 1,831.60
  4. Step 4: Simplify right side
    6,511.87x = 17,890,207.95
  5. Step 5: Solve for x
    x = 17,890,207.95/6,511.87
  6. Step 6: Final answer
    x = 2,747.32

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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.