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Finding the Fourth Proportional to 9,994.78, 13,793.70 and 6,015.25

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Solution

The fourth proportional to 9,994.78, 13,793.70 and 6,015.25 is: 8,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.78 : 13,793.70 = 6,015.25 : x
  2. Step 2: Convert to fraction form
    9,994.78/13,793.70 = 6,015.25/x
  3. Step 3: Cross multiply
    9,994.78x = 13,793.70 × 6,015.25
  4. Step 4: Simplify right side
    9,994.78x = 82,972,553.93
  5. Step 5: Solve for x
    x = 82,972,553.93/9,994.78
  6. Step 6: Final answer
    x = 8,301.59

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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.