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Finding the Fourth Proportional to 11,969.61, 16,517.41 and 6,933.43

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Solution

The fourth proportional to 11,969.61, 16,517.41 and 6,933.43 is: 9,567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.61 : 16,517.41 = 6,933.43 : x
  2. Step 2: Convert to fraction form
    11,969.61/16,517.41 = 6,933.43/x
  3. Step 3: Cross multiply
    11,969.61x = 16,517.41 × 6,933.43
  4. Step 4: Simplify right side
    11,969.61x = 114,522,306.02
  5. Step 5: Solve for x
    x = 114,522,306.02/11,969.61
  6. Step 6: Final answer
    x = 9,567.76

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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.