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Finding the Fourth Proportional to 6,268.14, 9,400.67 and 2,571.42

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Solution

The fourth proportional to 6,268.14, 9,400.67 and 2,571.42 is: 3,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.14 : 9,400.67 = 2,571.42 : x
  2. Step 2: Convert to fraction form
    6,268.14/9,400.67 = 2,571.42/x
  3. Step 3: Cross multiply
    6,268.14x = 9,400.67 × 2,571.42
  4. Step 4: Simplify right side
    6,268.14x = 24,173,057.99
  5. Step 5: Solve for x
    x = 24,173,057.99/6,268.14
  6. Step 6: Final answer
    x = 3,856.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.