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Finding the Fourth Proportional to 6,179.76, 9,270 and 1,797.12

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Solution

The fourth proportional to 6,179.76, 9,270 and 1,797.12 is: 2,695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.76 : 9,270 = 1,797.12 : x
  2. Step 2: Convert to fraction form
    6,179.76/9,270 = 1,797.12/x
  3. Step 3: Cross multiply
    6,179.76x = 9,270 × 1,797.12
  4. Step 4: Simplify right side
    6,179.76x = 16,659,302.40
  5. Step 5: Solve for x
    x = 16,659,302.40/6,179.76
  6. Step 6: Final answer
    x = 2,695.78

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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.