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Finding the Fourth Proportional to 6,194.36, 8,552.22 and 3,839

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Solution

The fourth proportional to 6,194.36, 8,552.22 and 3,839 is: 5,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.36 : 8,552.22 = 3,839 : x
  2. Step 2: Convert to fraction form
    6,194.36/8,552.22 = 3,839/x
  3. Step 3: Cross multiply
    6,194.36x = 8,552.22 × 3,839
  4. Step 4: Simplify right side
    6,194.36x = 32,831,972.58
  5. Step 5: Solve for x
    x = 32,831,972.58/6,194.36
  6. Step 6: Final answer
    x = 5,300.30

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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.