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Finding the Fourth Proportional to 6,413.52, 9,621.63 and 3,641.52

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Solution

The fourth proportional to 6,413.52, 9,621.63 and 3,641.52 is: 5,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.52 : 9,621.63 = 3,641.52 : x
  2. Step 2: Convert to fraction form
    6,413.52/9,621.63 = 3,641.52/x
  3. Step 3: Cross multiply
    6,413.52x = 9,621.63 × 3,641.52
  4. Step 4: Simplify right side
    6,413.52x = 35,037,358.08
  5. Step 5: Solve for x
    x = 35,037,358.08/6,413.52
  6. Step 6: Final answer
    x = 5,463.05

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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.