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Finding the Fourth Proportional to 6,949.53, 9,589.98 and 3,805.11

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Solution

The fourth proportional to 6,949.53, 9,589.98 and 3,805.11 is: 5,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.53 : 9,589.98 = 3,805.11 : x
  2. Step 2: Convert to fraction form
    6,949.53/9,589.98 = 3,805.11/x
  3. Step 3: Cross multiply
    6,949.53x = 9,589.98 × 3,805.11
  4. Step 4: Simplify right side
    6,949.53x = 36,490,928.80
  5. Step 5: Solve for x
    x = 36,490,928.80/6,949.53
  6. Step 6: Final answer
    x = 5,250.85

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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.