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Finding the Fourth Proportional to 6,821.73, 9,414.09 and 3,797.10

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Solution

The fourth proportional to 6,821.73, 9,414.09 and 3,797.10 is: 5,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.73 : 9,414.09 = 3,797.10 : x
  2. Step 2: Convert to fraction form
    6,821.73/9,414.09 = 3,797.10/x
  3. Step 3: Cross multiply
    6,821.73x = 9,414.09 × 3,797.10
  4. Step 4: Simplify right side
    6,821.73x = 35,746,241.14
  5. Step 5: Solve for x
    x = 35,746,241.14/6,821.73
  6. Step 6: Final answer
    x = 5,240.06

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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.