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Finding the Fourth Proportional to 11,673, 16,108.74 and 7,481.25

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Solution

The fourth proportional to 11,673, 16,108.74 and 7,481.25 is: 10,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673 : 16,108.74 = 7,481.25 : x
  2. Step 2: Convert to fraction form
    11,673/16,108.74 = 7,481.25/x
  3. Step 3: Cross multiply
    11,673x = 16,108.74 × 7,481.25
  4. Step 4: Simplify right side
    11,673x = 120,513,511.13
  5. Step 5: Solve for x
    x = 120,513,511.13/11,673
  6. Step 6: Final answer
    x = 10,324.13

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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.