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Finding the Fourth Proportional to 13,422.69, 18,525 and 8,117.54

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Solution

The fourth proportional to 13,422.69, 18,525 and 8,117.54 is: 11,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.69 : 18,525 = 8,117.54 : x
  2. Step 2: Convert to fraction form
    13,422.69/18,525 = 8,117.54/x
  3. Step 3: Cross multiply
    13,422.69x = 18,525 × 8,117.54
  4. Step 4: Simplify right side
    13,422.69x = 150,377,335.88
  5. Step 5: Solve for x
    x = 150,377,335.88/13,422.69
  6. Step 6: Final answer
    x = 11,203.22

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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.