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Finding the Fourth Proportional to 6,949.97, 9,591.41 and 3,806.16

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Solution

The fourth proportional to 6,949.97, 9,591.41 and 3,806.16 is: 5,252.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.97 : 9,591.41 = 3,806.16 : x
  2. Step 2: Convert to fraction form
    6,949.97/9,591.41 = 3,806.16/x
  3. Step 3: Cross multiply
    6,949.97x = 9,591.41 × 3,806.16
  4. Step 4: Simplify right side
    6,949.97x = 36,506,414.63
  5. Step 5: Solve for x
    x = 36,506,414.63/6,949.97
  6. Step 6: Final answer
    x = 5,252.75

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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.