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Finding the Fourth Proportional to 7,693.73, 11,545.46 and 4,413.23

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Solution

The fourth proportional to 7,693.73, 11,545.46 and 4,413.23 is: 6,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.73 : 11,545.46 = 4,413.23 : x
  2. Step 2: Convert to fraction form
    7,693.73/11,545.46 = 4,413.23/x
  3. Step 3: Cross multiply
    7,693.73x = 11,545.46 × 4,413.23
  4. Step 4: Simplify right side
    7,693.73x = 50,952,770.44
  5. Step 5: Solve for x
    x = 50,952,770.44/7,693.73
  6. Step 6: Final answer
    x = 6,622.64

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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.