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Finding the Fourth Proportional to 13,224.57, 18,250.41 and 7,256.49

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Solution

The fourth proportional to 13,224.57, 18,250.41 and 7,256.49 is: 10,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.57 : 18,250.41 = 7,256.49 : x
  2. Step 2: Convert to fraction form
    13,224.57/18,250.41 = 7,256.49/x
  3. Step 3: Cross multiply
    13,224.57x = 18,250.41 × 7,256.49
  4. Step 4: Simplify right side
    13,224.57x = 132,433,917.66
  5. Step 5: Solve for x
    x = 132,433,917.66/13,224.57
  6. Step 6: Final answer
    x = 10,014.23

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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.