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Finding the Fourth Proportional to 11,773.97, 17,654.11 and 4,748.23

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Solution

The fourth proportional to 11,773.97, 17,654.11 and 4,748.23 is: 7,119.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.97 : 17,654.11 = 4,748.23 : x
  2. Step 2: Convert to fraction form
    11,773.97/17,654.11 = 4,748.23/x
  3. Step 3: Cross multiply
    11,773.97x = 17,654.11 × 4,748.23
  4. Step 4: Simplify right side
    11,773.97x = 83,825,774.73
  5. Step 5: Solve for x
    x = 83,825,774.73/11,773.97
  6. Step 6: Final answer
    x = 7,119.58

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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.