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Finding the Fourth Proportional to 6,949.31, 9,589.93 and 3,805.43

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Solution

The fourth proportional to 6,949.31, 9,589.93 and 3,805.43 is: 5,251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.31 : 9,589.93 = 3,805.43 : x
  2. Step 2: Convert to fraction form
    6,949.31/9,589.93 = 3,805.43/x
  3. Step 3: Cross multiply
    6,949.31x = 9,589.93 × 3,805.43
  4. Step 4: Simplify right side
    6,949.31x = 36,493,807.32
  5. Step 5: Solve for x
    x = 36,493,807.32/6,949.31
  6. Step 6: Final answer
    x = 5,251.43

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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.