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Finding the Fourth Proportional to 22,261.74, 33,389.34 and 8,407.50

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Solution

The fourth proportional to 22,261.74, 33,389.34 and 8,407.50 is: 12,610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,261.74 : 33,389.34 = 8,407.50 : x
  2. Step 2: Convert to fraction form
    22,261.74/33,389.34 = 8,407.50/x
  3. Step 3: Cross multiply
    22,261.74x = 33,389.34 × 8,407.50
  4. Step 4: Simplify right side
    22,261.74x = 280,720,876.05
  5. Step 5: Solve for x
    x = 280,720,876.05/22,261.74
  6. Step 6: Final answer
    x = 12,610.02

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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.