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Finding the Fourth Proportional to 6,196.48, 9,286.28 and 3,419

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Solution

The fourth proportional to 6,196.48, 9,286.28 and 3,419 is: 5,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.48 : 9,286.28 = 3,419 : x
  2. Step 2: Convert to fraction form
    6,196.48/9,286.28 = 3,419/x
  3. Step 3: Cross multiply
    6,196.48x = 9,286.28 × 3,419
  4. Step 4: Simplify right side
    6,196.48x = 31,749,791.32
  5. Step 5: Solve for x
    x = 31,749,791.32/6,196.48
  6. Step 6: Final answer
    x = 5,123.84

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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.