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Finding the Fourth Proportional to 12,462.98, 17,189.14 and 7,987.14

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Solution

The fourth proportional to 12,462.98, 17,189.14 and 7,987.14 is: 11,015.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.98 : 17,189.14 = 7,987.14 : x
  2. Step 2: Convert to fraction form
    12,462.98/17,189.14 = 7,987.14/x
  3. Step 3: Cross multiply
    12,462.98x = 17,189.14 × 7,987.14
  4. Step 4: Simplify right side
    12,462.98x = 137,292,067.66
  5. Step 5: Solve for x
    x = 137,292,067.66/12,462.98
  6. Step 6: Final answer
    x = 11,015.99

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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.