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Finding the Fourth Proportional to 6,557.69, 9,049.83 and 3,573.38

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Solution

The fourth proportional to 6,557.69, 9,049.83 and 3,573.38 is: 4,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.69 : 9,049.83 = 3,573.38 : x
  2. Step 2: Convert to fraction form
    6,557.69/9,049.83 = 3,573.38/x
  3. Step 3: Cross multiply
    6,557.69x = 9,049.83 × 3,573.38
  4. Step 4: Simplify right side
    6,557.69x = 32,338,481.53
  5. Step 5: Solve for x
    x = 32,338,481.53/6,557.69
  6. Step 6: Final answer
    x = 4,931.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.