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Finding the Fourth Proportional to 6,574.48, 9,855.83 and 2,413.52

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Solution

The fourth proportional to 6,574.48, 9,855.83 and 2,413.52 is: 3,618.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.48 : 9,855.83 = 2,413.52 : x
  2. Step 2: Convert to fraction form
    6,574.48/9,855.83 = 2,413.52/x
  3. Step 3: Cross multiply
    6,574.48x = 9,855.83 × 2,413.52
  4. Step 4: Simplify right side
    6,574.48x = 23,787,242.82
  5. Step 5: Solve for x
    x = 23,787,242.82/6,574.48
  6. Step 6: Final answer
    x = 3,618.12

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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.