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Finding the Fourth Proportional to 6,706.12, 10,063.80 and 3,012.49

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Solution

The fourth proportional to 6,706.12, 10,063.80 and 3,012.49 is: 4,520.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.12 : 10,063.80 = 3,012.49 : x
  2. Step 2: Convert to fraction form
    6,706.12/10,063.80 = 3,012.49/x
  3. Step 3: Cross multiply
    6,706.12x = 10,063.80 × 3,012.49
  4. Step 4: Simplify right side
    6,706.12x = 30,317,096.86
  5. Step 5: Solve for x
    x = 30,317,096.86/6,706.12
  6. Step 6: Final answer
    x = 4,520.81

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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.