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Finding the Fourth Proportional to 7,067.76, 9,754.29 and 4,083.72

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Solution

The fourth proportional to 7,067.76, 9,754.29 and 4,083.72 is: 5,635.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.76 : 9,754.29 = 4,083.72 : x
  2. Step 2: Convert to fraction form
    7,067.76/9,754.29 = 4,083.72/x
  3. Step 3: Cross multiply
    7,067.76x = 9,754.29 × 4,083.72
  4. Step 4: Simplify right side
    7,067.76x = 39,833,789.16
  5. Step 5: Solve for x
    x = 39,833,789.16/7,067.76
  6. Step 6: Final answer
    x = 5,635.98

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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.