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Finding the Fourth Proportional to 12,994.75, 17,933.28 and 8,212.96

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Solution

The fourth proportional to 12,994.75, 17,933.28 and 8,212.96 is: 11,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,994.75 : 17,933.28 = 8,212.96 : x
  2. Step 2: Convert to fraction form
    12,994.75/17,933.28 = 8,212.96/x
  3. Step 3: Cross multiply
    12,994.75x = 17,933.28 × 8,212.96
  4. Step 4: Simplify right side
    12,994.75x = 147,285,311.31
  5. Step 5: Solve for x
    x = 147,285,311.31/12,994.75
  6. Step 6: Final answer
    x = 11,334.22

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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.