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Finding the Fourth Proportional to 7,792.81, 11,695.39 and 3,413.34

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Solution

The fourth proportional to 7,792.81, 11,695.39 and 3,413.34 is: 5,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792.81 : 11,695.39 = 3,413.34 : x
  2. Step 2: Convert to fraction form
    7,792.81/11,695.39 = 3,413.34/x
  3. Step 3: Cross multiply
    7,792.81x = 11,695.39 × 3,413.34
  4. Step 4: Simplify right side
    7,792.81x = 39,920,333.97
  5. Step 5: Solve for x
    x = 39,920,333.97/7,792.81
  6. Step 6: Final answer
    x = 5,122.72

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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.