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Finding the Fourth Proportional to 6,359.76, 9,538.11 and 2,199.92

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Solution

The fourth proportional to 6,359.76, 9,538.11 and 2,199.92 is: 3,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.76 : 9,538.11 = 2,199.92 : x
  2. Step 2: Convert to fraction form
    6,359.76/9,538.11 = 2,199.92/x
  3. Step 3: Cross multiply
    6,359.76x = 9,538.11 × 2,199.92
  4. Step 4: Simplify right side
    6,359.76x = 20,983,031.26
  5. Step 5: Solve for x
    x = 20,983,031.26/6,359.76
  6. Step 6: Final answer
    x = 3,299.34

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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.