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Finding the Fourth Proportional to 11,149.80, 16,722.30 and 4,909.80

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Solution

The fourth proportional to 11,149.80, 16,722.30 and 4,909.80 is: 7,363.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.80 : 16,722.30 = 4,909.80 : x
  2. Step 2: Convert to fraction form
    11,149.80/16,722.30 = 4,909.80/x
  3. Step 3: Cross multiply
    11,149.80x = 16,722.30 × 4,909.80
  4. Step 4: Simplify right side
    11,149.80x = 82,103,148.54
  5. Step 5: Solve for x
    x = 82,103,148.54/11,149.80
  6. Step 6: Final answer
    x = 7,363.64

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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.