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Finding the Fourth Proportional to 6,694.53, 10,041.03 and 1,764.56

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Solution

The fourth proportional to 6,694.53, 10,041.03 and 1,764.56 is: 2,646.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.53 : 10,041.03 = 1,764.56 : x
  2. Step 2: Convert to fraction form
    6,694.53/10,041.03 = 1,764.56/x
  3. Step 3: Cross multiply
    6,694.53x = 10,041.03 × 1,764.56
  4. Step 4: Simplify right side
    6,694.53x = 17,717,949.69
  5. Step 5: Solve for x
    x = 17,717,949.69/6,694.53
  6. Step 6: Final answer
    x = 2,646.63

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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.