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Finding the Fourth Proportional to 13,832.26, 20,754.42 and 7,256.86

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Solution

The fourth proportional to 13,832.26, 20,754.42 and 7,256.86 is: 10,888.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.26 : 20,754.42 = 7,256.86 : x
  2. Step 2: Convert to fraction form
    13,832.26/20,754.42 = 7,256.86/x
  3. Step 3: Cross multiply
    13,832.26x = 20,754.42 × 7,256.86
  4. Step 4: Simplify right side
    13,832.26x = 150,611,920.32
  5. Step 5: Solve for x
    x = 150,611,920.32/13,832.26
  6. Step 6: Final answer
    x = 10,888.45

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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.