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Finding the Fourth Proportional to 6,097, 8,413.88 and 3,302.52

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Solution

The fourth proportional to 6,097, 8,413.88 and 3,302.52 is: 4,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097 : 8,413.88 = 3,302.52 : x
  2. Step 2: Convert to fraction form
    6,097/8,413.88 = 3,302.52/x
  3. Step 3: Cross multiply
    6,097x = 8,413.88 × 3,302.52
  4. Step 4: Simplify right side
    6,097x = 27,787,006.98
  5. Step 5: Solve for x
    x = 27,787,006.98/6,097
  6. Step 6: Final answer
    x = 4,557.49

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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.