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Finding the Fourth Proportional to 6,738, 9,298.44 and 3,944.04

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Solution

The fourth proportional to 6,738, 9,298.44 and 3,944.04 is: 5,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738 : 9,298.44 = 3,944.04 : x
  2. Step 2: Convert to fraction form
    6,738/9,298.44 = 3,944.04/x
  3. Step 3: Cross multiply
    6,738x = 9,298.44 × 3,944.04
  4. Step 4: Simplify right side
    6,738x = 36,673,419.30
  5. Step 5: Solve for x
    x = 36,673,419.30/6,738
  6. Step 6: Final answer
    x = 5,442.78

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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.