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Finding the Fourth Proportional to 22,642.50, 33,952.83 and 9,491.34

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Solution

The fourth proportional to 22,642.50, 33,952.83 and 9,491.34 is: 14,232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.50 : 33,952.83 = 9,491.34 : x
  2. Step 2: Convert to fraction form
    22,642.50/33,952.83 = 9,491.34/x
  3. Step 3: Cross multiply
    22,642.50x = 33,952.83 × 9,491.34
  4. Step 4: Simplify right side
    22,642.50x = 322,257,853.49
  5. Step 5: Solve for x
    x = 322,257,853.49/22,642.50
  6. Step 6: Final answer
    x = 14,232.43

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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.