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Finding the Fourth Proportional to 7,067.80, 9,753.12 and 4,083.15

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Solution

The fourth proportional to 7,067.80, 9,753.12 and 4,083.15 is: 5,634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.80 : 9,753.12 = 4,083.15 : x
  2. Step 2: Convert to fraction form
    7,067.80/9,753.12 = 4,083.15/x
  3. Step 3: Cross multiply
    7,067.80x = 9,753.12 × 4,083.15
  4. Step 4: Simplify right side
    7,067.80x = 39,823,382.75
  5. Step 5: Solve for x
    x = 39,823,382.75/7,067.80
  6. Step 6: Final answer
    x = 5,634.48

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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.