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Finding the Fourth Proportional to 6,949.28, 9,589.68 and 3,805.64

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Solution

The fourth proportional to 6,949.28, 9,589.68 and 3,805.64 is: 5,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.28 : 9,589.68 = 3,805.64 : x
  2. Step 2: Convert to fraction form
    6,949.28/9,589.68 = 3,805.64/x
  3. Step 3: Cross multiply
    6,949.28x = 9,589.68 × 3,805.64
  4. Step 4: Simplify right side
    6,949.28x = 36,494,869.80
  5. Step 5: Solve for x
    x = 36,494,869.80/6,949.28
  6. Step 6: Final answer
    x = 5,251.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.