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Finding the Fourth Proportional to 6,179.58, 9,269.29 and 1,499.63

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Solution

The fourth proportional to 6,179.58, 9,269.29 and 1,499.63 is: 2,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.58 : 9,269.29 = 1,499.63 : x
  2. Step 2: Convert to fraction form
    6,179.58/9,269.29 = 1,499.63/x
  3. Step 3: Cross multiply
    6,179.58x = 9,269.29 × 1,499.63
  4. Step 4: Simplify right side
    6,179.58x = 13,900,456.67
  5. Step 5: Solve for x
    x = 13,900,456.67/6,179.58
  6. Step 6: Final answer
    x = 2,249.42

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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.