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Finding the Fourth Proportional to 22,358.40, 33,542.10 and 6,563.40

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Solution

The fourth proportional to 22,358.40, 33,542.10 and 6,563.40 is: 9,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.40 : 33,542.10 = 6,563.40 : x
  2. Step 2: Convert to fraction form
    22,358.40/33,542.10 = 6,563.40/x
  3. Step 3: Cross multiply
    22,358.40x = 33,542.10 × 6,563.40
  4. Step 4: Simplify right side
    22,358.40x = 220,150,219.14
  5. Step 5: Solve for x
    x = 220,150,219.14/22,358.40
  6. Step 6: Final answer
    x = 9,846.42

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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.