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Finding the Fourth Proportional to 6,413.85, 9,621.32 and 2,253.50

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Solution

The fourth proportional to 6,413.85, 9,621.32 and 2,253.50 is: 3,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.85 : 9,621.32 = 2,253.50 : x
  2. Step 2: Convert to fraction form
    6,413.85/9,621.32 = 2,253.50/x
  3. Step 3: Cross multiply
    6,413.85x = 9,621.32 × 2,253.50
  4. Step 4: Simplify right side
    6,413.85x = 21,681,596.51
  5. Step 5: Solve for x
    x = 21,681,596.51/6,413.85
  6. Step 6: Final answer
    x = 3,380.43

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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.