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Finding the Fourth Proportional to 6,201.92, 8,557.82 and 3,843.20

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Solution

The fourth proportional to 6,201.92, 8,557.82 and 3,843.20 is: 5,303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.92 : 8,557.82 = 3,843.20 : x
  2. Step 2: Convert to fraction form
    6,201.92/8,557.82 = 3,843.20/x
  3. Step 3: Cross multiply
    6,201.92x = 8,557.82 × 3,843.20
  4. Step 4: Simplify right side
    6,201.92x = 32,889,413.82
  5. Step 5: Solve for x
    x = 32,889,413.82/6,201.92
  6. Step 6: Final answer
    x = 5,303.10

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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.