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Finding the Fourth Proportional to 6,781.50, 10,173.96 and 2,164.50

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Solution

The fourth proportional to 6,781.50, 10,173.96 and 2,164.50 is: 3,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.50 : 10,173.96 = 2,164.50 : x
  2. Step 2: Convert to fraction form
    6,781.50/10,173.96 = 2,164.50/x
  3. Step 3: Cross multiply
    6,781.50x = 10,173.96 × 2,164.50
  4. Step 4: Simplify right side
    6,781.50x = 22,021,536.42
  5. Step 5: Solve for x
    x = 22,021,536.42/6,781.50
  6. Step 6: Final answer
    x = 3,247.30

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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.