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Finding the Fourth Proportional to 6,744, 10,096.92 and 3,574.21

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Solution

The fourth proportional to 6,744, 10,096.92 and 3,574.21 is: 5,351.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744 : 10,096.92 = 3,574.21 : x
  2. Step 2: Convert to fraction form
    6,744/10,096.92 = 3,574.21/x
  3. Step 3: Cross multiply
    6,744x = 10,096.92 × 3,574.21
  4. Step 4: Simplify right side
    6,744x = 36,088,512.43
  5. Step 5: Solve for x
    x = 36,088,512.43/6,744
  6. Step 6: Final answer
    x = 5,351.20

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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.