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Finding the Fourth Proportional to 6,567.20, 9,850.80 and 2,464.80

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Solution

The fourth proportional to 6,567.20, 9,850.80 and 2,464.80 is: 3,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.20 : 9,850.80 = 2,464.80 : x
  2. Step 2: Convert to fraction form
    6,567.20/9,850.80 = 2,464.80/x
  3. Step 3: Cross multiply
    6,567.20x = 9,850.80 × 2,464.80
  4. Step 4: Simplify right side
    6,567.20x = 24,280,251.84
  5. Step 5: Solve for x
    x = 24,280,251.84/6,567.20
  6. Step 6: Final answer
    x = 3,697.20

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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.