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Finding the Fourth Proportional to 12,067.50, 16,654.16 and 6,762.80

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Solution

The fourth proportional to 12,067.50, 16,654.16 and 6,762.80 is: 9,333.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,067.50 : 16,654.16 = 6,762.80 : x
  2. Step 2: Convert to fraction form
    12,067.50/16,654.16 = 6,762.80/x
  3. Step 3: Cross multiply
    12,067.50x = 16,654.16 × 6,762.80
  4. Step 4: Simplify right side
    12,067.50x = 112,628,753.25
  5. Step 5: Solve for x
    x = 112,628,753.25/12,067.50
  6. Step 6: Final answer
    x = 9,333.23

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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.