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Finding the Fourth Proportional to 9,996.98, 13,793.01 and 6,016.82

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Solution

The fourth proportional to 9,996.98, 13,793.01 and 6,016.82 is: 8,301.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.98 : 13,793.01 = 6,016.82 : x
  2. Step 2: Convert to fraction form
    9,996.98/13,793.01 = 6,016.82/x
  3. Step 3: Cross multiply
    9,996.98x = 13,793.01 × 6,016.82
  4. Step 4: Simplify right side
    9,996.98x = 82,990,058.43
  5. Step 5: Solve for x
    x = 82,990,058.43/9,996.98
  6. Step 6: Final answer
    x = 8,301.51

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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.