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Finding the Fourth Proportional to 14,067.70, 19,413.88 and 7,694.64

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Solution

The fourth proportional to 14,067.70, 19,413.88 and 7,694.64 is: 10,618.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,067.70 : 19,413.88 = 7,694.64 : x
  2. Step 2: Convert to fraction form
    14,067.70/19,413.88 = 7,694.64/x
  3. Step 3: Cross multiply
    14,067.70x = 19,413.88 × 7,694.64
  4. Step 4: Simplify right side
    14,067.70x = 149,382,798.37
  5. Step 5: Solve for x
    x = 149,382,798.37/14,067.70
  6. Step 6: Final answer
    x = 10,618.85

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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.