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Finding the Fourth Proportional to 6,994.63, 10,490.96 and 2,834.63

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Solution

The fourth proportional to 6,994.63, 10,490.96 and 2,834.63 is: 4,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.63 : 10,490.96 = 2,834.63 : x
  2. Step 2: Convert to fraction form
    6,994.63/10,490.96 = 2,834.63/x
  3. Step 3: Cross multiply
    6,994.63x = 10,490.96 × 2,834.63
  4. Step 4: Simplify right side
    6,994.63x = 29,738,035.45
  5. Step 5: Solve for x
    x = 29,738,035.45/6,994.63
  6. Step 6: Final answer
    x = 4,251.56

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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.