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Finding the Fourth Proportional to 6,847.44, 10,271.15 and 2,464.78

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Solution

The fourth proportional to 6,847.44, 10,271.15 and 2,464.78 is: 3,697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.44 : 10,271.15 = 2,464.78 : x
  2. Step 2: Convert to fraction form
    6,847.44/10,271.15 = 2,464.78/x
  3. Step 3: Cross multiply
    6,847.44x = 10,271.15 × 2,464.78
  4. Step 4: Simplify right side
    6,847.44x = 25,316,125.10
  5. Step 5: Solve for x
    x = 25,316,125.10/6,847.44
  6. Step 6: Final answer
    x = 3,697.17

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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.