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Finding the Fourth Proportional to 7,496.68, 11,270.94 and 6,926.44

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Solution

The fourth proportional to 7,496.68, 11,270.94 and 6,926.44 is: 10,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.68 : 11,270.94 = 6,926.44 : x
  2. Step 2: Convert to fraction form
    7,496.68/11,270.94 = 6,926.44/x
  3. Step 3: Cross multiply
    7,496.68x = 11,270.94 × 6,926.44
  4. Step 4: Simplify right side
    7,496.68x = 78,067,489.65
  5. Step 5: Solve for x
    x = 78,067,489.65/7,496.68
  6. Step 6: Final answer
    x = 10,413.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.