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Finding the Fourth Proportional to 7,751.14, 11,605.41 and 5,413.48

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Solution

The fourth proportional to 7,751.14, 11,605.41 and 5,413.48 is: 8,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.14 : 11,605.41 = 5,413.48 : x
  2. Step 2: Convert to fraction form
    7,751.14/11,605.41 = 5,413.48/x
  3. Step 3: Cross multiply
    7,751.14x = 11,605.41 × 5,413.48
  4. Step 4: Simplify right side
    7,751.14x = 62,825,654.93
  5. Step 5: Solve for x
    x = 62,825,654.93/7,751.14
  6. Step 6: Final answer
    x = 8,105.34

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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.