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Finding the Fourth Proportional to 12,031.81, 16,593.09 and 7,778.39

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Solution

The fourth proportional to 12,031.81, 16,593.09 and 7,778.39 is: 10,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031.81 : 16,593.09 = 7,778.39 : x
  2. Step 2: Convert to fraction form
    12,031.81/16,593.09 = 7,778.39/x
  3. Step 3: Cross multiply
    12,031.81x = 16,593.09 × 7,778.39
  4. Step 4: Simplify right side
    12,031.81x = 129,067,525.33
  5. Step 5: Solve for x
    x = 129,067,525.33/12,031.81
  6. Step 6: Final answer
    x = 10,727.19

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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.