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Finding the Fourth Proportional to 6,976.54, 10,455.51 and 3,270.97

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Solution

The fourth proportional to 6,976.54, 10,455.51 and 3,270.97 is: 4,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.54 : 10,455.51 = 3,270.97 : x
  2. Step 2: Convert to fraction form
    6,976.54/10,455.51 = 3,270.97/x
  3. Step 3: Cross multiply
    6,976.54x = 10,455.51 × 3,270.97
  4. Step 4: Simplify right side
    6,976.54x = 34,199,684.88
  5. Step 5: Solve for x
    x = 34,199,684.88/6,976.54
  6. Step 6: Final answer
    x = 4,902.10

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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.