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Finding the Fourth Proportional to 11,134.80, 16,702.20 and 7,198.20

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Solution

The fourth proportional to 11,134.80, 16,702.20 and 7,198.20 is: 10,797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,134.80 : 16,702.20 = 7,198.20 : x
  2. Step 2: Convert to fraction form
    11,134.80/16,702.20 = 7,198.20/x
  3. Step 3: Cross multiply
    11,134.80x = 16,702.20 × 7,198.20
  4. Step 4: Simplify right side
    11,134.80x = 120,225,776.04
  5. Step 5: Solve for x
    x = 120,225,776.04/11,134.80
  6. Step 6: Final answer
    x = 10,797.30

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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.