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Finding the Fourth Proportional to 22,407.86, 33,611.76 and 6,825.48

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Solution

The fourth proportional to 22,407.86, 33,611.76 and 6,825.48 is: 10,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,407.86 : 33,611.76 = 6,825.48 : x
  2. Step 2: Convert to fraction form
    22,407.86/33,611.76 = 6,825.48/x
  3. Step 3: Cross multiply
    22,407.86x = 33,611.76 × 6,825.48
  4. Step 4: Simplify right side
    22,407.86x = 229,416,395.64
  5. Step 5: Solve for x
    x = 229,416,395.64/22,407.86
  6. Step 6: Final answer
    x = 10,238.21

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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.