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Finding the Fourth Proportional to 6,179.86, 9,269.71 and 1,499.91

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Solution

The fourth proportional to 6,179.86, 9,269.71 and 1,499.91 is: 2,249.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.86 : 9,269.71 = 1,499.91 : x
  2. Step 2: Convert to fraction form
    6,179.86/9,269.71 = 1,499.91/x
  3. Step 3: Cross multiply
    6,179.86x = 9,269.71 × 1,499.91
  4. Step 4: Simplify right side
    6,179.86x = 13,903,692.21
  5. Step 5: Solve for x
    x = 13,903,692.21/6,179.86
  6. Step 6: Final answer
    x = 2,249.84

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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.