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Finding the Fourth Proportional to 6,944.72, 9,572.46 and 4,286.30

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Solution

The fourth proportional to 6,944.72, 9,572.46 and 4,286.30 is: 5,908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.72 : 9,572.46 = 4,286.30 : x
  2. Step 2: Convert to fraction form
    6,944.72/9,572.46 = 4,286.30/x
  3. Step 3: Cross multiply
    6,944.72x = 9,572.46 × 4,286.30
  4. Step 4: Simplify right side
    6,944.72x = 41,030,435.30
  5. Step 5: Solve for x
    x = 41,030,435.30/6,944.72
  6. Step 6: Final answer
    x = 5,908.15

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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.