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Finding the Fourth Proportional to 6,193.38, 8,544 and 3,954.12

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Solution

The fourth proportional to 6,193.38, 8,544 and 3,954.12 is: 5,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.38 : 8,544 = 3,954.12 : x
  2. Step 2: Convert to fraction form
    6,193.38/8,544 = 3,954.12/x
  3. Step 3: Cross multiply
    6,193.38x = 8,544 × 3,954.12
  4. Step 4: Simplify right side
    6,193.38x = 33,784,001.28
  5. Step 5: Solve for x
    x = 33,784,001.28/6,193.38
  6. Step 6: Final answer
    x = 5,454.86

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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.