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Finding the Fourth Proportional to 6,997.80, 10,504.80 and 4,227.60

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Solution

The fourth proportional to 6,997.80, 10,504.80 and 4,227.60 is: 6,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.80 : 10,504.80 = 4,227.60 : x
  2. Step 2: Convert to fraction form
    6,997.80/10,504.80 = 4,227.60/x
  3. Step 3: Cross multiply
    6,997.80x = 10,504.80 × 4,227.60
  4. Step 4: Simplify right side
    6,997.80x = 44,410,092.48
  5. Step 5: Solve for x
    x = 44,410,092.48/6,997.80
  6. Step 6: Final answer
    x = 6,346.29

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1.5x scale

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.