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Finding the Fourth Proportional to 13,760.73, 18,987.93 and 8,092.14

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Solution

The fourth proportional to 13,760.73, 18,987.93 and 8,092.14 is: 11,166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.73 : 18,987.93 = 8,092.14 : x
  2. Step 2: Convert to fraction form
    13,760.73/18,987.93 = 8,092.14/x
  3. Step 3: Cross multiply
    13,760.73x = 18,987.93 × 8,092.14
  4. Step 4: Simplify right side
    13,760.73x = 153,652,987.87
  5. Step 5: Solve for x
    x = 153,652,987.87/13,760.73
  6. Step 6: Final answer
    x = 11,166.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.