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Finding the Fourth Proportional to 6,097, 8,413.18 and 3,443.85

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Solution

The fourth proportional to 6,097, 8,413.18 and 3,443.85 is: 4,752.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097 : 8,413.18 = 3,443.85 : x
  2. Step 2: Convert to fraction form
    6,097/8,413.18 = 3,443.85/x
  3. Step 3: Cross multiply
    6,097x = 8,413.18 × 3,443.85
  4. Step 4: Simplify right side
    6,097x = 28,973,729.94
  5. Step 5: Solve for x
    x = 28,973,729.94/6,097
  6. Step 6: Final answer
    x = 4,752.13

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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.