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Finding the Fourth Proportional to 6,697.67, 10,050.62 and 3,413.12

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Solution

The fourth proportional to 6,697.67, 10,050.62 and 3,413.12 is: 5,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.67 : 10,050.62 = 3,413.12 : x
  2. Step 2: Convert to fraction form
    6,697.67/10,050.62 = 3,413.12/x
  3. Step 3: Cross multiply
    6,697.67x = 10,050.62 × 3,413.12
  4. Step 4: Simplify right side
    6,697.67x = 34,303,904.82
  5. Step 5: Solve for x
    x = 34,303,904.82/6,697.67
  6. Step 6: Final answer
    x = 5,121.77

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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.