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Finding the Fourth Proportional to 4,959.32, 6,843.42 and 2,834.42

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Solution

The fourth proportional to 4,959.32, 6,843.42 and 2,834.42 is: 3,911.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.32 : 6,843.42 = 2,834.42 : x
  2. Step 2: Convert to fraction form
    4,959.32/6,843.42 = 2,834.42/x
  3. Step 3: Cross multiply
    4,959.32x = 6,843.42 × 2,834.42
  4. Step 4: Simplify right side
    4,959.32x = 19,397,143.62
  5. Step 5: Solve for x
    x = 19,397,143.62/4,959.32
  6. Step 6: Final answer
    x = 3,911.25

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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.