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Finding the Fourth Proportional to 5,968.62, 8,220.96 and 5,935.77

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Solution

The fourth proportional to 5,968.62, 8,220.96 and 5,935.77 is: 8,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.62 : 8,220.96 = 5,935.77 : x
  2. Step 2: Convert to fraction form
    5,968.62/8,220.96 = 5,935.77/x
  3. Step 3: Cross multiply
    5,968.62x = 8,220.96 × 5,935.77
  4. Step 4: Simplify right side
    5,968.62x = 48,797,727.74
  5. Step 5: Solve for x
    x = 48,797,727.74/5,968.62
  6. Step 6: Final answer
    x = 8,175.71

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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.