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Finding the Fourth Proportional to 12,593.82, 18,874.30 and 5,190.82

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Solution

The fourth proportional to 12,593.82, 18,874.30 and 5,190.82 is: 7,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.82 : 18,874.30 = 5,190.82 : x
  2. Step 2: Convert to fraction form
    12,593.82/18,874.30 = 5,190.82/x
  3. Step 3: Cross multiply
    12,593.82x = 18,874.30 × 5,190.82
  4. Step 4: Simplify right side
    12,593.82x = 97,973,093.93
  5. Step 5: Solve for x
    x = 97,973,093.93/12,593.82
  6. Step 6: Final answer
    x = 7,779.46

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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.