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Finding the Fourth Proportional to 6,200.52, 9,301.20 and 2,096.52

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Solution

The fourth proportional to 6,200.52, 9,301.20 and 2,096.52 is: 3,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.52 : 9,301.20 = 2,096.52 : x
  2. Step 2: Convert to fraction form
    6,200.52/9,301.20 = 2,096.52/x
  3. Step 3: Cross multiply
    6,200.52x = 9,301.20 × 2,096.52
  4. Step 4: Simplify right side
    6,200.52x = 19,500,151.82
  5. Step 5: Solve for x
    x = 19,500,151.82/6,200.52
  6. Step 6: Final answer
    x = 3,144.92

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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.