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Finding the Fourth Proportional to 6,557.50, 9,049.44 and 3,763

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Solution

The fourth proportional to 6,557.50, 9,049.44 and 3,763 is: 5,192.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.50 : 9,049.44 = 3,763 : x
  2. Step 2: Convert to fraction form
    6,557.50/9,049.44 = 3,763/x
  3. Step 3: Cross multiply
    6,557.50x = 9,049.44 × 3,763
  4. Step 4: Simplify right side
    6,557.50x = 34,053,042.72
  5. Step 5: Solve for x
    x = 34,053,042.72/6,557.50
  6. Step 6: Final answer
    x = 5,192.99

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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.