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Finding the Fourth Proportional to 24,944.31, 37,422.68 and 7,413.66

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Solution

The fourth proportional to 24,944.31, 37,422.68 and 7,413.66 is: 11,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,944.31 : 37,422.68 = 7,413.66 : x
  2. Step 2: Convert to fraction form
    24,944.31/37,422.68 = 7,413.66/x
  3. Step 3: Cross multiply
    24,944.31x = 37,422.68 × 7,413.66
  4. Step 4: Simplify right side
    24,944.31x = 277,438,988.74
  5. Step 5: Solve for x
    x = 277,438,988.74/24,944.31
  6. Step 6: Final answer
    x = 11,122.34

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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.