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Finding the Fourth Proportional to 22,765.14, 34,147.93 and 7,974.03

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Solution

The fourth proportional to 22,765.14, 34,147.93 and 7,974.03 is: 11,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.14 : 34,147.93 = 7,974.03 : x
  2. Step 2: Convert to fraction form
    22,765.14/34,147.93 = 7,974.03/x
  3. Step 3: Cross multiply
    22,765.14x = 34,147.93 × 7,974.03
  4. Step 4: Simplify right side
    22,765.14x = 272,296,618.26
  5. Step 5: Solve for x
    x = 272,296,618.26/22,765.14
  6. Step 6: Final answer
    x = 11,961.12

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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.