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Finding the Fourth Proportional to 13,102.54, 18,093.52 and 8,324.02

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Solution

The fourth proportional to 13,102.54, 18,093.52 and 8,324.02 is: 11,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.54 : 18,093.52 = 8,324.02 : x
  2. Step 2: Convert to fraction form
    13,102.54/18,093.52 = 8,324.02/x
  3. Step 3: Cross multiply
    13,102.54x = 18,093.52 × 8,324.02
  4. Step 4: Simplify right side
    13,102.54x = 150,610,822.35
  5. Step 5: Solve for x
    x = 150,610,822.35/13,102.54
  6. Step 6: Final answer
    x = 11,494.78

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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.