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Finding the Fourth Proportional to 6,994.50, 10,494.45 and 3,296.58

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Solution

The fourth proportional to 6,994.50, 10,494.45 and 3,296.58 is: 4,946.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.50 : 10,494.45 = 3,296.58 : x
  2. Step 2: Convert to fraction form
    6,994.50/10,494.45 = 3,296.58/x
  3. Step 3: Cross multiply
    6,994.50x = 10,494.45 × 3,296.58
  4. Step 4: Simplify right side
    6,994.50x = 34,595,793.98
  5. Step 5: Solve for x
    x = 34,595,793.98/6,994.50
  6. Step 6: Final answer
    x = 4,946.14

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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.