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Finding the Fourth Proportional to 6,994.73, 10,494.14 and 2,064.42

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Solution

The fourth proportional to 6,994.73, 10,494.14 and 2,064.42 is: 3,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.73 : 10,494.14 = 2,064.42 : x
  2. Step 2: Convert to fraction form
    6,994.73/10,494.14 = 2,064.42/x
  3. Step 3: Cross multiply
    6,994.73x = 10,494.14 × 2,064.42
  4. Step 4: Simplify right side
    6,994.73x = 21,664,302.18
  5. Step 5: Solve for x
    x = 21,664,302.18/6,994.73
  6. Step 6: Final answer
    x = 3,097.23

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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.