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Finding the Fourth Proportional to 22,647.91, 33,937.23 and 9,493.11

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Solution

The fourth proportional to 22,647.91, 33,937.23 and 9,493.11 is: 14,225.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.91 : 33,937.23 = 9,493.11 : x
  2. Step 2: Convert to fraction form
    22,647.91/33,937.23 = 9,493.11/x
  3. Step 3: Cross multiply
    22,647.91x = 33,937.23 × 9,493.11
  4. Step 4: Simplify right side
    22,647.91x = 322,169,857.49
  5. Step 5: Solve for x
    x = 322,169,857.49/22,647.91
  6. Step 6: Final answer
    x = 14,225.15

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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.