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Finding the Fourth Proportional to 22,612.10, 33,921.22 and 9,461.40

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Solution

The fourth proportional to 22,612.10, 33,921.22 and 9,461.40 is: 14,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.10 : 33,921.22 = 9,461.40 : x
  2. Step 2: Convert to fraction form
    22,612.10/33,921.22 = 9,461.40/x
  3. Step 3: Cross multiply
    22,612.10x = 33,921.22 × 9,461.40
  4. Step 4: Simplify right side
    22,612.10x = 320,942,230.91
  5. Step 5: Solve for x
    x = 320,942,230.91/22,612.10
  6. Step 6: Final answer
    x = 14,193.38

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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.