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Finding the Fourth Proportional to 6,944, 10,413.42 and 2,500.48

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Solution

The fourth proportional to 6,944, 10,413.42 and 2,500.48 is: 3,749.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944 : 10,413.42 = 2,500.48 : x
  2. Step 2: Convert to fraction form
    6,944/10,413.42 = 2,500.48/x
  3. Step 3: Cross multiply
    6,944x = 10,413.42 × 2,500.48
  4. Step 4: Simplify right side
    6,944x = 26,038,548.44
  5. Step 5: Solve for x
    x = 26,038,548.44/6,944
  6. Step 6: Final answer
    x = 3,749.79

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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.