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Finding the Fourth Proportional to 12,647.70, 18,971.51 and 3,413.70

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Solution

The fourth proportional to 12,647.70, 18,971.51 and 3,413.70 is: 5,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.70 : 18,971.51 = 3,413.70 : x
  2. Step 2: Convert to fraction form
    12,647.70/18,971.51 = 3,413.70/x
  3. Step 3: Cross multiply
    12,647.70x = 18,971.51 × 3,413.70
  4. Step 4: Simplify right side
    12,647.70x = 64,763,026.62
  5. Step 5: Solve for x
    x = 64,763,026.62/12,647.70
  6. Step 6: Final answer
    x = 5,120.54

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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.