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Finding the Fourth Proportional to 22,642.82, 33,953.30 and 9,491.66

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Solution

The fourth proportional to 22,642.82, 33,953.30 and 9,491.66 is: 14,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.82 : 33,953.30 = 9,491.66 : x
  2. Step 2: Convert to fraction form
    22,642.82/33,953.30 = 9,491.66/x
  3. Step 3: Cross multiply
    22,642.82x = 33,953.30 × 9,491.66
  4. Step 4: Simplify right side
    22,642.82x = 322,272,997.85
  5. Step 5: Solve for x
    x = 322,272,997.85/22,642.82
  6. Step 6: Final answer
    x = 14,232.90

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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.