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Finding the Fourth Proportional to 6,193.28, 8,546.64 and 3,836

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Solution

The fourth proportional to 6,193.28, 8,546.64 and 3,836 is: 5,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.28 : 8,546.64 = 3,836 : x
  2. Step 2: Convert to fraction form
    6,193.28/8,546.64 = 3,836/x
  3. Step 3: Cross multiply
    6,193.28x = 8,546.64 × 3,836
  4. Step 4: Simplify right side
    6,193.28x = 32,784,911.04
  5. Step 5: Solve for x
    x = 32,784,911.04/6,193.28
  6. Step 6: Final answer
    x = 5,293.63

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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.