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Finding the Fourth Proportional to 6,994.53, 10,491.82 and 2,834.61

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Solution

The fourth proportional to 6,994.53, 10,491.82 and 2,834.61 is: 4,251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.53 : 10,491.82 = 2,834.61 : x
  2. Step 2: Convert to fraction form
    6,994.53/10,491.82 = 2,834.61/x
  3. Step 3: Cross multiply
    6,994.53x = 10,491.82 × 2,834.61
  4. Step 4: Simplify right side
    6,994.53x = 29,740,237.03
  5. Step 5: Solve for x
    x = 29,740,237.03/6,994.53
  6. Step 6: Final answer
    x = 4,251.93

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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.