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Finding the Fourth Proportional to 6,276.54, 9,413.15 and 2,983.08

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Solution

The fourth proportional to 6,276.54, 9,413.15 and 2,983.08 is: 4,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.54 : 9,413.15 = 2,983.08 : x
  2. Step 2: Convert to fraction form
    6,276.54/9,413.15 = 2,983.08/x
  3. Step 3: Cross multiply
    6,276.54x = 9,413.15 × 2,983.08
  4. Step 4: Simplify right side
    6,276.54x = 28,080,179.50
  5. Step 5: Solve for x
    x = 28,080,179.50/6,276.54
  6. Step 6: Final answer
    x = 4,473.83

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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.