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Finding the Fourth Proportional to 7,211.80, 10,814.10 and 3,311.80

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Solution

The fourth proportional to 7,211.80, 10,814.10 and 3,311.80 is: 4,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.80 : 10,814.10 = 3,311.80 : x
  2. Step 2: Convert to fraction form
    7,211.80/10,814.10 = 3,311.80/x
  3. Step 3: Cross multiply
    7,211.80x = 10,814.10 × 3,311.80
  4. Step 4: Simplify right side
    7,211.80x = 35,814,136.38
  5. Step 5: Solve for x
    x = 35,814,136.38/7,211.80
  6. Step 6: Final answer
    x = 4,966.05

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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.