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Finding the Fourth Proportional to 6,958.71, 10,439.28 and 3,674.57

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Solution

The fourth proportional to 6,958.71, 10,439.28 and 3,674.57 is: 5,512.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.71 : 10,439.28 = 3,674.57 : x
  2. Step 2: Convert to fraction form
    6,958.71/10,439.28 = 3,674.57/x
  3. Step 3: Cross multiply
    6,958.71x = 10,439.28 × 3,674.57
  4. Step 4: Simplify right side
    6,958.71x = 38,359,812.91
  5. Step 5: Solve for x
    x = 38,359,812.91/6,958.71
  6. Step 6: Final answer
    x = 5,512.49

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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.