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Finding the Fourth Proportional to 6,188.43, 9,297.86 and 3,968.22

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Solution

The fourth proportional to 6,188.43, 9,297.86 and 3,968.22 is: 5,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.43 : 9,297.86 = 3,968.22 : x
  2. Step 2: Convert to fraction form
    6,188.43/9,297.86 = 3,968.22/x
  3. Step 3: Cross multiply
    6,188.43x = 9,297.86 × 3,968.22
  4. Step 4: Simplify right side
    6,188.43x = 36,895,934.17
  5. Step 5: Solve for x
    x = 36,895,934.17/6,188.43
  6. Step 6: Final answer
    x = 5,962.08

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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.