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Finding the Fourth Proportional to 6,096.94, 8,413.81 and 3,302.44

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Solution

The fourth proportional to 6,096.94, 8,413.81 and 3,302.44 is: 4,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.94 : 8,413.81 = 3,302.44 : x
  2. Step 2: Convert to fraction form
    6,096.94/8,413.81 = 3,302.44/x
  3. Step 3: Cross multiply
    6,096.94x = 8,413.81 × 3,302.44
  4. Step 4: Simplify right side
    6,096.94x = 27,786,073.41
  5. Step 5: Solve for x
    x = 27,786,073.41/6,096.94
  6. Step 6: Final answer
    x = 4,557.38

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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.