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Finding the Fourth Proportional to 6,827.64, 9,422.16 and 3,843.48

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Solution

The fourth proportional to 6,827.64, 9,422.16 and 3,843.48 is: 5,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.64 : 9,422.16 = 3,843.48 : x
  2. Step 2: Convert to fraction form
    6,827.64/9,422.16 = 3,843.48/x
  3. Step 3: Cross multiply
    6,827.64x = 9,422.16 × 3,843.48
  4. Step 4: Simplify right side
    6,827.64x = 36,213,883.52
  5. Step 5: Solve for x
    x = 36,213,883.52/6,827.64
  6. Step 6: Final answer
    x = 5,304.01

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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.