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Finding the Fourth Proportional to 6,551.58, 9,817.81 and 3,260.15

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Solution

The fourth proportional to 6,551.58, 9,817.81 and 3,260.15 is: 4,885.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.58 : 9,817.81 = 3,260.15 : x
  2. Step 2: Convert to fraction form
    6,551.58/9,817.81 = 3,260.15/x
  3. Step 3: Cross multiply
    6,551.58x = 9,817.81 × 3,260.15
  4. Step 4: Simplify right side
    6,551.58x = 32,007,512.85
  5. Step 5: Solve for x
    x = 32,007,512.85/6,551.58
  6. Step 6: Final answer
    x = 4,885.46

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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.