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Finding the Fourth Proportional to 4,067.71, 6,103.17 and 1,728.22

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Solution

The fourth proportional to 4,067.71, 6,103.17 and 1,728.22 is: 2,593.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.71 : 6,103.17 = 1,728.22 : x
  2. Step 2: Convert to fraction form
    4,067.71/6,103.17 = 1,728.22/x
  3. Step 3: Cross multiply
    4,067.71x = 6,103.17 × 1,728.22
  4. Step 4: Simplify right side
    4,067.71x = 10,547,620.46
  5. Step 5: Solve for x
    x = 10,547,620.46/4,067.71
  6. Step 6: Final answer
    x = 2,593.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.