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Finding the Fourth Proportional to 12,773.73, 19,147.64 and 8,092.29

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Solution

The fourth proportional to 12,773.73, 19,147.64 and 8,092.29 is: 12,130.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.73 : 19,147.64 = 8,092.29 : x
  2. Step 2: Convert to fraction form
    12,773.73/19,147.64 = 8,092.29/x
  3. Step 3: Cross multiply
    12,773.73x = 19,147.64 × 8,092.29
  4. Step 4: Simplify right side
    12,773.73x = 154,948,215.23
  5. Step 5: Solve for x
    x = 154,948,215.23/12,773.73
  6. Step 6: Final answer
    x = 12,130.22

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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.