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Finding the Fourth Proportional to 6,530.28, 9,800.82 and 3,569.44

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Solution

The fourth proportional to 6,530.28, 9,800.82 and 3,569.44 is: 5,357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.28 : 9,800.82 = 3,569.44 : x
  2. Step 2: Convert to fraction form
    6,530.28/9,800.82 = 3,569.44/x
  3. Step 3: Cross multiply
    6,530.28x = 9,800.82 × 3,569.44
  4. Step 4: Simplify right side
    6,530.28x = 34,983,438.94
  5. Step 5: Solve for x
    x = 34,983,438.94/6,530.28
  6. Step 6: Final answer
    x = 5,357.11

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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.