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Finding the Fourth Proportional to 12,067.94, 16,654.41 and 6,764.46

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Solution

The fourth proportional to 12,067.94, 16,654.41 and 6,764.46 is: 9,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,067.94 : 16,654.41 = 6,764.46 : x
  2. Step 2: Convert to fraction form
    12,067.94/16,654.41 = 6,764.46/x
  3. Step 3: Cross multiply
    12,067.94x = 16,654.41 × 6,764.46
  4. Step 4: Simplify right side
    12,067.94x = 112,658,090.27
  5. Step 5: Solve for x
    x = 112,658,090.27/12,067.94
  6. Step 6: Final answer
    x = 9,335.32

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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.