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Finding the Fourth Proportional to 6,324.28, 9,481 and 3,200.38

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Solution

The fourth proportional to 6,324.28, 9,481 and 3,200.38 is: 4,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.28 : 9,481 = 3,200.38 : x
  2. Step 2: Convert to fraction form
    6,324.28/9,481 = 3,200.38/x
  3. Step 3: Cross multiply
    6,324.28x = 9,481 × 3,200.38
  4. Step 4: Simplify right side
    6,324.28x = 30,342,802.78
  5. Step 5: Solve for x
    x = 30,342,802.78/6,324.28
  6. Step 6: Final answer
    x = 4,797.83

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1.5x scale

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.