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Finding the Fourth Proportional to 6,096.75, 8,413.74 and 3,738.44

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Solution

The fourth proportional to 6,096.75, 8,413.74 and 3,738.44 is: 5,159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.75 : 8,413.74 = 3,738.44 : x
  2. Step 2: Convert to fraction form
    6,096.75/8,413.74 = 3,738.44/x
  3. Step 3: Cross multiply
    6,096.75x = 8,413.74 × 3,738.44
  4. Step 4: Simplify right side
    6,096.75x = 31,454,220.10
  5. Step 5: Solve for x
    x = 31,454,220.10/6,096.75
  6. Step 6: Final answer
    x = 5,159.18

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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.