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Finding the Fourth Proportional to 6,349.06, 9,525.11 and 2,649.23

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Solution

The fourth proportional to 6,349.06, 9,525.11 and 2,649.23 is: 3,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.06 : 9,525.11 = 2,649.23 : x
  2. Step 2: Convert to fraction form
    6,349.06/9,525.11 = 2,649.23/x
  3. Step 3: Cross multiply
    6,349.06x = 9,525.11 × 2,649.23
  4. Step 4: Simplify right side
    6,349.06x = 25,234,237.60
  5. Step 5: Solve for x
    x = 25,234,237.60/6,349.06
  6. Step 6: Final answer
    x = 3,974.48

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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.