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Finding the Fourth Proportional to 11,506.44, 17,259.87 and 3,608.78

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Solution

The fourth proportional to 11,506.44, 17,259.87 and 3,608.78 is: 5,413.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.44 : 17,259.87 = 3,608.78 : x
  2. Step 2: Convert to fraction form
    11,506.44/17,259.87 = 3,608.78/x
  3. Step 3: Cross multiply
    11,506.44x = 17,259.87 × 3,608.78
  4. Step 4: Simplify right side
    11,506.44x = 62,287,021.49
  5. Step 5: Solve for x
    x = 62,287,021.49/11,506.44
  6. Step 6: Final answer
    x = 5,413.23

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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.