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Finding the Fourth Proportional to 7,731, 11,591.25 and 2,464.44

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Solution

The fourth proportional to 7,731, 11,591.25 and 2,464.44 is: 3,694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731 : 11,591.25 = 2,464.44 : x
  2. Step 2: Convert to fraction form
    7,731/11,591.25 = 2,464.44/x
  3. Step 3: Cross multiply
    7,731x = 11,591.25 × 2,464.44
  4. Step 4: Simplify right side
    7,731x = 28,565,940.15
  5. Step 5: Solve for x
    x = 28,565,940.15/7,731
  6. Step 6: Final answer
    x = 3,694.99

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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.