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Finding the Fourth Proportional to 7,168.64, 10,752.73 and 1,974.47

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Solution

The fourth proportional to 7,168.64, 10,752.73 and 1,974.47 is: 2,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168.64 : 10,752.73 = 1,974.47 : x
  2. Step 2: Convert to fraction form
    7,168.64/10,752.73 = 1,974.47/x
  3. Step 3: Cross multiply
    7,168.64x = 10,752.73 × 1,974.47
  4. Step 4: Simplify right side
    7,168.64x = 21,230,942.80
  5. Step 5: Solve for x
    x = 21,230,942.80/7,168.64
  6. Step 6: Final answer
    x = 2,961.64

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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.