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Finding the Fourth Proportional to 6,097.56, 8,413.34 and 4,586.73

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Solution

The fourth proportional to 6,097.56, 8,413.34 and 4,586.73 is: 6,328.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.56 : 8,413.34 = 4,586.73 : x
  2. Step 2: Convert to fraction form
    6,097.56/8,413.34 = 4,586.73/x
  3. Step 3: Cross multiply
    6,097.56x = 8,413.34 × 4,586.73
  4. Step 4: Simplify right side
    6,097.56x = 38,589,696.04
  5. Step 5: Solve for x
    x = 38,589,696.04/6,097.56
  6. Step 6: Final answer
    x = 6,328.71

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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.