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Finding the Fourth Proportional to 6,694.98, 10,043 and 1,764.57

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Solution

The fourth proportional to 6,694.98, 10,043 and 1,764.57 is: 2,646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.98 : 10,043 = 1,764.57 : x
  2. Step 2: Convert to fraction form
    6,694.98/10,043 = 1,764.57/x
  3. Step 3: Cross multiply
    6,694.98x = 10,043 × 1,764.57
  4. Step 4: Simplify right side
    6,694.98x = 17,721,576.51
  5. Step 5: Solve for x
    x = 17,721,576.51/6,694.98
  6. Step 6: Final answer
    x = 2,646.99

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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.