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Finding the Fourth Proportional to 12,593.97, 18,890.27 and 3,828.20

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Solution

The fourth proportional to 12,593.97, 18,890.27 and 3,828.20 is: 5,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.97 : 18,890.27 = 3,828.20 : x
  2. Step 2: Convert to fraction form
    12,593.97/18,890.27 = 3,828.20/x
  3. Step 3: Cross multiply
    12,593.97x = 18,890.27 × 3,828.20
  4. Step 4: Simplify right side
    12,593.97x = 72,315,714.76
  5. Step 5: Solve for x
    x = 72,315,714.76/12,593.97
  6. Step 6: Final answer
    x = 5,742.09

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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.