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Finding the Fourth Proportional to 11,146.80, 16,687.80 and 10,822.80

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Solution

The fourth proportional to 11,146.80, 16,687.80 and 10,822.80 is: 16,202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.80 : 16,687.80 = 10,822.80 : x
  2. Step 2: Convert to fraction form
    11,146.80/16,687.80 = 10,822.80/x
  3. Step 3: Cross multiply
    11,146.80x = 16,687.80 × 10,822.80
  4. Step 4: Simplify right side
    11,146.80x = 180,608,721.84
  5. Step 5: Solve for x
    x = 180,608,721.84/11,146.80
  6. Step 6: Final answer
    x = 16,202.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.