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Finding the Fourth Proportional to 6,195.70, 9,293.50 and 1,515.73

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Solution

The fourth proportional to 6,195.70, 9,293.50 and 1,515.73 is: 2,273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.70 : 9,293.50 = 1,515.73 : x
  2. Step 2: Convert to fraction form
    6,195.70/9,293.50 = 1,515.73/x
  3. Step 3: Cross multiply
    6,195.70x = 9,293.50 × 1,515.73
  4. Step 4: Simplify right side
    6,195.70x = 14,086,436.76
  5. Step 5: Solve for x
    x = 14,086,436.76/6,195.70
  6. Step 6: Final answer
    x = 2,273.58

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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.