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Finding the Fourth Proportional to 4,783.57, 7,171.91 and 2,413.14

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Solution

The fourth proportional to 4,783.57, 7,171.91 and 2,413.14 is: 3,617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.57 : 7,171.91 = 2,413.14 : x
  2. Step 2: Convert to fraction form
    4,783.57/7,171.91 = 2,413.14/x
  3. Step 3: Cross multiply
    4,783.57x = 7,171.91 × 2,413.14
  4. Step 4: Simplify right side
    4,783.57x = 17,306,833.33
  5. Step 5: Solve for x
    x = 17,306,833.33/4,783.57
  6. Step 6: Final answer
    x = 3,617.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.