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Finding the Fourth Proportional to 6,469.44, 9,693.92 and 3,869.12

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Solution

The fourth proportional to 6,469.44, 9,693.92 and 3,869.12 is: 5,797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.44 : 9,693.92 = 3,869.12 : x
  2. Step 2: Convert to fraction form
    6,469.44/9,693.92 = 3,869.12/x
  3. Step 3: Cross multiply
    6,469.44x = 9,693.92 × 3,869.12
  4. Step 4: Simplify right side
    6,469.44x = 37,506,939.75
  5. Step 5: Solve for x
    x = 37,506,939.75/6,469.44
  6. Step 6: Final answer
    x = 5,797.56

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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.