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Finding the Fourth Proportional to 6,823.62, 9,413.91 and 3,838.77

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Solution

The fourth proportional to 6,823.62, 9,413.91 and 3,838.77 is: 5,295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.62 : 9,413.91 = 3,838.77 : x
  2. Step 2: Convert to fraction form
    6,823.62/9,413.91 = 3,838.77/x
  3. Step 3: Cross multiply
    6,823.62x = 9,413.91 × 3,838.77
  4. Step 4: Simplify right side
    6,823.62x = 36,137,835.29
  5. Step 5: Solve for x
    x = 36,137,835.29/6,823.62
  6. Step 6: Final answer
    x = 5,295.99

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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.