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Finding the Fourth Proportional to 7,659, 11,487.78 and 2,464.92

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Solution

The fourth proportional to 7,659, 11,487.78 and 2,464.92 is: 3,697.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659 : 11,487.78 = 2,464.92 : x
  2. Step 2: Convert to fraction form
    7,659/11,487.78 = 2,464.92/x
  3. Step 3: Cross multiply
    7,659x = 11,487.78 × 2,464.92
  4. Step 4: Simplify right side
    7,659x = 28,316,458.68
  5. Step 5: Solve for x
    x = 28,316,458.68/7,659
  6. Step 6: Final answer
    x = 3,697.15

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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.