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Finding the Fourth Proportional to 6,851.96, 10,271.46 and 2,694.64

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Solution

The fourth proportional to 6,851.96, 10,271.46 and 2,694.64 is: 4,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.96 : 10,271.46 = 2,694.64 : x
  2. Step 2: Convert to fraction form
    6,851.96/10,271.46 = 2,694.64/x
  3. Step 3: Cross multiply
    6,851.96x = 10,271.46 × 2,694.64
  4. Step 4: Simplify right side
    6,851.96x = 27,677,835.62
  5. Step 5: Solve for x
    x = 27,677,835.62/6,851.96
  6. Step 6: Final answer
    x = 4,039.40

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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.