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Finding the Fourth Proportional to 6,706.20, 10,059.31 and 2,323.66

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Solution

The fourth proportional to 6,706.20, 10,059.31 and 2,323.66 is: 3,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.20 : 10,059.31 = 2,323.66 : x
  2. Step 2: Convert to fraction form
    6,706.20/10,059.31 = 2,323.66/x
  3. Step 3: Cross multiply
    6,706.20x = 10,059.31 × 2,323.66
  4. Step 4: Simplify right side
    6,706.20x = 23,374,416.27
  5. Step 5: Solve for x
    x = 23,374,416.27/6,706.20
  6. Step 6: Final answer
    x = 3,485.49

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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.