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Finding the Fourth Proportional to 6,574.06, 9,857.69 and 2,413.00

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Solution

The fourth proportional to 6,574.06, 9,857.69 and 2,413.00 is: 3,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.06 : 9,857.69 = 2,413.00 : x
  2. Step 2: Convert to fraction form
    6,574.06/9,857.69 = 2,413.00/x
  3. Step 3: Cross multiply
    6,574.06x = 9,857.69 × 2,413.00
  4. Step 4: Simplify right side
    6,574.06x = 23,786,544.62
  5. Step 5: Solve for x
    x = 23,786,544.62/6,574.06
  6. Step 6: Final answer
    x = 3,618.25

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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.