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Finding the Fourth Proportional to 6,478.96, 9,723.30 and 2,581.24

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Solution

The fourth proportional to 6,478.96, 9,723.30 and 2,581.24 is: 3,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.96 : 9,723.30 = 2,581.24 : x
  2. Step 2: Convert to fraction form
    6,478.96/9,723.30 = 2,581.24/x
  3. Step 3: Cross multiply
    6,478.96x = 9,723.30 × 2,581.24
  4. Step 4: Simplify right side
    6,478.96x = 25,098,170.89
  5. Step 5: Solve for x
    x = 25,098,170.89/6,478.96
  6. Step 6: Final answer
    x = 3,873.80

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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.