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Finding the Fourth Proportional to 9,994.31, 13,793.78 and 5,961.65

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Solution

The fourth proportional to 9,994.31, 13,793.78 and 5,961.65 is: 8,228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.31 : 13,793.78 = 5,961.65 : x
  2. Step 2: Convert to fraction form
    9,994.31/13,793.78 = 5,961.65/x
  3. Step 3: Cross multiply
    9,994.31x = 13,793.78 × 5,961.65
  4. Step 4: Simplify right side
    9,994.31x = 82,233,688.54
  5. Step 5: Solve for x
    x = 82,233,688.54/9,994.31
  6. Step 6: Final answer
    x = 8,228.05

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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.