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Finding the Fourth Proportional to 6,179.70, 9,264 and 2,230.02

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Solution

The fourth proportional to 6,179.70, 9,264 and 2,230.02 is: 3,343.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.70 : 9,264 = 2,230.02 : x
  2. Step 2: Convert to fraction form
    6,179.70/9,264 = 2,230.02/x
  3. Step 3: Cross multiply
    6,179.70x = 9,264 × 2,230.02
  4. Step 4: Simplify right side
    6,179.70x = 20,658,905.28
  5. Step 5: Solve for x
    x = 20,658,905.28/6,179.70
  6. Step 6: Final answer
    x = 3,343.03

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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.