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Finding the Fourth Proportional to 13,859.46, 20,775.51 and 5,534.46

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Solution

The fourth proportional to 13,859.46, 20,775.51 and 5,534.46 is: 8,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859.46 : 20,775.51 = 5,534.46 : x
  2. Step 2: Convert to fraction form
    13,859.46/20,775.51 = 5,534.46/x
  3. Step 3: Cross multiply
    13,859.46x = 20,775.51 × 5,534.46
  4. Step 4: Simplify right side
    13,859.46x = 114,981,229.07
  5. Step 5: Solve for x
    x = 114,981,229.07/13,859.46
  6. Step 6: Final answer
    x = 8,296.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.