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Finding the Fourth Proportional to 5,968.89, 8,227.15 and 5,249.23

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Solution

The fourth proportional to 5,968.89, 8,227.15 and 5,249.23 is: 7,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.89 : 8,227.15 = 5,249.23 : x
  2. Step 2: Convert to fraction form
    5,968.89/8,227.15 = 5,249.23/x
  3. Step 3: Cross multiply
    5,968.89x = 8,227.15 × 5,249.23
  4. Step 4: Simplify right side
    5,968.89x = 43,186,202.59
  5. Step 5: Solve for x
    x = 43,186,202.59/5,968.89
  6. Step 6: Final answer
    x = 7,235.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.