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Finding the Fourth Proportional to 5,067, 6,992.60 and 2,828.97

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Solution

The fourth proportional to 5,067, 6,992.60 and 2,828.97 is: 3,904.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,067 : 6,992.60 = 2,828.97 : x
  2. Step 2: Convert to fraction form
    5,067/6,992.60 = 2,828.97/x
  3. Step 3: Cross multiply
    5,067x = 6,992.60 × 2,828.97
  4. Step 4: Simplify right side
    5,067x = 19,781,841.48
  5. Step 5: Solve for x
    x = 19,781,841.48/5,067
  6. Step 6: Final answer
    x = 3,904.05

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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.