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Finding the Fourth Proportional to 22,407.38, 33,611.06 and 6,825

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Solution

The fourth proportional to 22,407.38, 33,611.06 and 6,825 is: 10,237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,407.38 : 33,611.06 = 6,825 : x
  2. Step 2: Convert to fraction form
    22,407.38/33,611.06 = 6,825/x
  3. Step 3: Cross multiply
    22,407.38x = 33,611.06 × 6,825
  4. Step 4: Simplify right side
    22,407.38x = 229,395,501.56
  5. Step 5: Solve for x
    x = 229,395,501.56/22,407.38
  6. Step 6: Final answer
    x = 10,237.50

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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.