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Finding the Fourth Proportional to 6,343.68, 9,530.24 and 3,748.48

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Solution

The fourth proportional to 6,343.68, 9,530.24 and 3,748.48 is: 5,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.68 : 9,530.24 = 3,748.48 : x
  2. Step 2: Convert to fraction form
    6,343.68/9,530.24 = 3,748.48/x
  3. Step 3: Cross multiply
    6,343.68x = 9,530.24 × 3,748.48
  4. Step 4: Simplify right side
    6,343.68x = 35,723,914.04
  5. Step 5: Solve for x
    x = 35,723,914.04/6,343.68
  6. Step 6: Final answer
    x = 5,631.42

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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.