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Finding the Fourth Proportional to 7,096.50, 10,645.56 and 3,634.56

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Solution

The fourth proportional to 7,096.50, 10,645.56 and 3,634.56 is: 5,452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.50 : 10,645.56 = 3,634.56 : x
  2. Step 2: Convert to fraction form
    7,096.50/10,645.56 = 3,634.56/x
  3. Step 3: Cross multiply
    7,096.50x = 10,645.56 × 3,634.56
  4. Step 4: Simplify right side
    7,096.50x = 38,691,926.55
  5. Step 5: Solve for x
    x = 38,691,926.55/7,096.50
  6. Step 6: Final answer
    x = 5,452.25

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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.