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Finding the Fourth Proportional to 22,407.63, 33,611.44 and 6,825.25

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Solution

The fourth proportional to 22,407.63, 33,611.44 and 6,825.25 is: 10,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,407.63 : 33,611.44 = 6,825.25 : x
  2. Step 2: Convert to fraction form
    22,407.63/33,611.44 = 6,825.25/x
  3. Step 3: Cross multiply
    22,407.63x = 33,611.44 × 6,825.25
  4. Step 4: Simplify right side
    22,407.63x = 229,406,480.86
  5. Step 5: Solve for x
    x = 229,406,480.86/22,407.63
  6. Step 6: Final answer
    x = 10,237.87

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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.