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Finding the Fourth Proportional to 6,673.82, 10,012.55 and 1,994.04

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Solution

The fourth proportional to 6,673.82, 10,012.55 and 1,994.04 is: 2,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,673.82 : 10,012.55 = 1,994.04 : x
  2. Step 2: Convert to fraction form
    6,673.82/10,012.55 = 1,994.04/x
  3. Step 3: Cross multiply
    6,673.82x = 10,012.55 × 1,994.04
  4. Step 4: Simplify right side
    6,673.82x = 19,965,415.23
  5. Step 5: Solve for x
    x = 19,965,415.23/6,673.82
  6. Step 6: Final answer
    x = 2,991.60

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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.