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Finding the Fourth Proportional to 6,179.91, 9,270.27 and 1,797

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Solution

The fourth proportional to 6,179.91, 9,270.27 and 1,797 is: 2,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.91 : 9,270.27 = 1,797 : x
  2. Step 2: Convert to fraction form
    6,179.91/9,270.27 = 1,797/x
  3. Step 3: Cross multiply
    6,179.91x = 9,270.27 × 1,797
  4. Step 4: Simplify right side
    6,179.91x = 16,658,675.19
  5. Step 5: Solve for x
    x = 16,658,675.19/6,179.91
  6. Step 6: Final answer
    x = 2,695.62

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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.