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Finding the Fourth Proportional to 6,413.24, 9,620.40 and 1,796.24

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Solution

The fourth proportional to 6,413.24, 9,620.40 and 1,796.24 is: 2,694.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.24 : 9,620.40 = 1,796.24 : x
  2. Step 2: Convert to fraction form
    6,413.24/9,620.40 = 1,796.24/x
  3. Step 3: Cross multiply
    6,413.24x = 9,620.40 × 1,796.24
  4. Step 4: Simplify right side
    6,413.24x = 17,280,547.30
  5. Step 5: Solve for x
    x = 17,280,547.30/6,413.24
  6. Step 6: Final answer
    x = 2,694.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.