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Finding the Fourth Proportional to 6,329.47, 9,493.37 and 1,649.82

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Solution

The fourth proportional to 6,329.47, 9,493.37 and 1,649.82 is: 2,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.47 : 9,493.37 = 1,649.82 : x
  2. Step 2: Convert to fraction form
    6,329.47/9,493.37 = 1,649.82/x
  3. Step 3: Cross multiply
    6,329.47x = 9,493.37 × 1,649.82
  4. Step 4: Simplify right side
    6,329.47x = 15,662,379.55
  5. Step 5: Solve for x
    x = 15,662,379.55/6,329.47
  6. Step 6: Final answer
    x = 2,474.52

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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.