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Finding the Fourth Proportional to 9,393.26, 12,959.75 and 5,413.82

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Solution

The fourth proportional to 9,393.26, 12,959.75 and 5,413.82 is: 7,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.26 : 12,959.75 = 5,413.82 : x
  2. Step 2: Convert to fraction form
    9,393.26/12,959.75 = 5,413.82/x
  3. Step 3: Cross multiply
    9,393.26x = 12,959.75 × 5,413.82
  4. Step 4: Simplify right side
    9,393.26x = 70,161,799.68
  5. Step 5: Solve for x
    x = 70,161,799.68/9,393.26
  6. Step 6: Final answer
    x = 7,469.38

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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.