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Finding the Fourth Proportional to 11,993.12, 16,546.16 and 6,954.56

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Solution

The fourth proportional to 11,993.12, 16,546.16 and 6,954.56 is: 9,594.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.12 : 16,546.16 = 6,954.56 : x
  2. Step 2: Convert to fraction form
    11,993.12/16,546.16 = 6,954.56/x
  3. Step 3: Cross multiply
    11,993.12x = 16,546.16 × 6,954.56
  4. Step 4: Simplify right side
    11,993.12x = 115,071,262.49
  5. Step 5: Solve for x
    x = 115,071,262.49/11,993.12
  6. Step 6: Final answer
    x = 9,594.77

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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.