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Finding the Fourth Proportional to 12,593.34, 18,889.02 and 3,828.24

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Solution

The fourth proportional to 12,593.34, 18,889.02 and 3,828.24 is: 5,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,593.34 : 18,889.02 = 3,828.24 : x
  2. Step 2: Convert to fraction form
    12,593.34/18,889.02 = 3,828.24/x
  3. Step 3: Cross multiply
    12,593.34x = 18,889.02 × 3,828.24
  4. Step 4: Simplify right side
    12,593.34x = 72,311,701.92
  5. Step 5: Solve for x
    x = 72,311,701.92/12,593.34
  6. Step 6: Final answer
    x = 5,742.06

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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.