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Finding the Fourth Proportional to 6,994.71, 10,491.93 and 2,834.55

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Solution

The fourth proportional to 6,994.71, 10,491.93 and 2,834.55 is: 4,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.71 : 10,491.93 = 2,834.55 : x
  2. Step 2: Convert to fraction form
    6,994.71/10,491.93 = 2,834.55/x
  3. Step 3: Cross multiply
    6,994.71x = 10,491.93 × 2,834.55
  4. Step 4: Simplify right side
    6,994.71x = 29,739,900.18
  5. Step 5: Solve for x
    x = 29,739,900.18/6,994.71
  6. Step 6: Final answer
    x = 4,251.77

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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.