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Finding the Fourth Proportional to 7,067.06, 9,752.06 and 3,923

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Solution

The fourth proportional to 7,067.06, 9,752.06 and 3,923 is: 5,413.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.06 : 9,752.06 = 3,923 : x
  2. Step 2: Convert to fraction form
    7,067.06/9,752.06 = 3,923/x
  3. Step 3: Cross multiply
    7,067.06x = 9,752.06 × 3,923
  4. Step 4: Simplify right side
    7,067.06x = 38,257,311.77
  5. Step 5: Solve for x
    x = 38,257,311.77/7,067.06
  6. Step 6: Final answer
    x = 5,413.47

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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.