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Finding the Fourth Proportional to 5,311.66, 7,967.49 and 2,193.43

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Solution

The fourth proportional to 5,311.66, 7,967.49 and 2,193.43 is: 3,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.66 : 7,967.49 = 2,193.43 : x
  2. Step 2: Convert to fraction form
    5,311.66/7,967.49 = 2,193.43/x
  3. Step 3: Cross multiply
    5,311.66x = 7,967.49 × 2,193.43
  4. Step 4: Simplify right side
    5,311.66x = 17,476,131.59
  5. Step 5: Solve for x
    x = 17,476,131.59/5,311.66
  6. Step 6: Final answer
    x = 3,290.15

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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.