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Finding the Fourth Proportional to 6,694.50, 10,041.75 and 1,764.64

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Solution

The fourth proportional to 6,694.50, 10,041.75 and 1,764.64 is: 2,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.50 : 10,041.75 = 1,764.64 : x
  2. Step 2: Convert to fraction form
    6,694.50/10,041.75 = 1,764.64/x
  3. Step 3: Cross multiply
    6,694.50x = 10,041.75 × 1,764.64
  4. Step 4: Simplify right side
    6,694.50x = 17,720,024.82
  5. Step 5: Solve for x
    x = 17,720,024.82/6,694.50
  6. Step 6: Final answer
    x = 2,646.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.