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Finding the Fourth Proportional to 30,786.82, 46,180.24 and 7,413.26

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Solution

The fourth proportional to 30,786.82, 46,180.24 and 7,413.26 is: 11,119.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,786.82 : 46,180.24 = 7,413.26 : x
  2. Step 2: Convert to fraction form
    30,786.82/46,180.24 = 7,413.26/x
  3. Step 3: Cross multiply
    30,786.82x = 46,180.24 × 7,413.26
  4. Step 4: Simplify right side
    30,786.82x = 342,346,125.98
  5. Step 5: Solve for x
    x = 342,346,125.98/30,786.82
  6. Step 6: Final answer
    x = 11,119.89

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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.