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Finding the Fourth Proportional to 6,851.60, 10,273.80 and 2,468.40

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Solution

The fourth proportional to 6,851.60, 10,273.80 and 2,468.40 is: 3,701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.60 : 10,273.80 = 2,468.40 : x
  2. Step 2: Convert to fraction form
    6,851.60/10,273.80 = 2,468.40/x
  3. Step 3: Cross multiply
    6,851.60x = 10,273.80 × 2,468.40
  4. Step 4: Simplify right side
    6,851.60x = 25,359,847.92
  5. Step 5: Solve for x
    x = 25,359,847.92/6,851.60
  6. Step 6: Final answer
    x = 3,701.30

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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.