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Finding the Fourth Proportional to 4,843.64, 6,684.22 and 2,747.76

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Solution

The fourth proportional to 4,843.64, 6,684.22 and 2,747.76 is: 3,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.64 : 6,684.22 = 2,747.76 : x
  2. Step 2: Convert to fraction form
    4,843.64/6,684.22 = 2,747.76/x
  3. Step 3: Cross multiply
    4,843.64x = 6,684.22 × 2,747.76
  4. Step 4: Simplify right side
    4,843.64x = 18,366,632.35
  5. Step 5: Solve for x
    x = 18,366,632.35/4,843.64
  6. Step 6: Final answer
    x = 3,791.91

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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.