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Finding the Fourth Proportional to 13,223.64, 18,249.78 and 7,256.48

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Solution

The fourth proportional to 13,223.64, 18,249.78 and 7,256.48 is: 10,014.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.64 : 18,249.78 = 7,256.48 : x
  2. Step 2: Convert to fraction form
    13,223.64/18,249.78 = 7,256.48/x
  3. Step 3: Cross multiply
    13,223.64x = 18,249.78 × 7,256.48
  4. Step 4: Simplify right side
    13,223.64x = 132,429,163.57
  5. Step 5: Solve for x
    x = 132,429,163.57/13,223.64
  6. Step 6: Final answer
    x = 10,014.58

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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.