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Finding the Fourth Proportional to 6,098.92, 8,413.88 and 3,581.80

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Solution

The fourth proportional to 6,098.92, 8,413.88 and 3,581.80 is: 4,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.92 : 8,413.88 = 3,581.80 : x
  2. Step 2: Convert to fraction form
    6,098.92/8,413.88 = 3,581.80/x
  3. Step 3: Cross multiply
    6,098.92x = 8,413.88 × 3,581.80
  4. Step 4: Simplify right side
    6,098.92x = 30,136,835.38
  5. Step 5: Solve for x
    x = 30,136,835.38/6,098.92
  6. Step 6: Final answer
    x = 4,941.34

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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.