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Finding the Fourth Proportional to 15,841.74, 23,765.31 and 5,982.42

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Solution

The fourth proportional to 15,841.74, 23,765.31 and 5,982.42 is: 8,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,841.74 : 23,765.31 = 5,982.42 : x
  2. Step 2: Convert to fraction form
    15,841.74/23,765.31 = 5,982.42/x
  3. Step 3: Cross multiply
    15,841.74x = 23,765.31 × 5,982.42
  4. Step 4: Simplify right side
    15,841.74x = 142,174,065.85
  5. Step 5: Solve for x
    x = 142,174,065.85/15,841.74
  6. Step 6: Final answer
    x = 8,974.65

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1.5x scale

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.