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Finding the Fourth Proportional to 11,670.52, 17,512.44 and 4,274

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Solution

The fourth proportional to 11,670.52, 17,512.44 and 4,274 is: 6,413.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,670.52 : 17,512.44 = 4,274 : x
  2. Step 2: Convert to fraction form
    11,670.52/17,512.44 = 4,274/x
  3. Step 3: Cross multiply
    11,670.52x = 17,512.44 × 4,274
  4. Step 4: Simplify right side
    11,670.52x = 74,848,168.56
  5. Step 5: Solve for x
    x = 74,848,168.56/11,670.52
  6. Step 6: Final answer
    x = 6,413.44

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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.