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Finding the Fourth Proportional to 6,828.14, 9,422.48 and 3,843.88

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Solution

The fourth proportional to 6,828.14, 9,422.48 and 3,843.88 is: 5,304.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.14 : 9,422.48 = 3,843.88 : x
  2. Step 2: Convert to fraction form
    6,828.14/9,422.48 = 3,843.88/x
  3. Step 3: Cross multiply
    6,828.14x = 9,422.48 × 3,843.88
  4. Step 4: Simplify right side
    6,828.14x = 36,218,882.42
  5. Step 5: Solve for x
    x = 36,218,882.42/6,828.14
  6. Step 6: Final answer
    x = 5,304.36

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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.