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Finding the Fourth Proportional to 11,809.47, 17,714.25 and 4,413.84

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Solution

The fourth proportional to 11,809.47, 17,714.25 and 4,413.84 is: 6,620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.47 : 17,714.25 = 4,413.84 : x
  2. Step 2: Convert to fraction form
    11,809.47/17,714.25 = 4,413.84/x
  3. Step 3: Cross multiply
    11,809.47x = 17,714.25 × 4,413.84
  4. Step 4: Simplify right side
    11,809.47x = 78,187,865.22
  5. Step 5: Solve for x
    x = 78,187,865.22/11,809.47
  6. Step 6: Final answer
    x = 6,620.78

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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.