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Finding the Fourth Proportional to 22,996.82, 34,495.14 and 6,356.82

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Solution

The fourth proportional to 22,996.82, 34,495.14 and 6,356.82 is: 9,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,996.82 : 34,495.14 = 6,356.82 : x
  2. Step 2: Convert to fraction form
    22,996.82/34,495.14 = 6,356.82/x
  3. Step 3: Cross multiply
    22,996.82x = 34,495.14 × 6,356.82
  4. Step 4: Simplify right side
    22,996.82x = 219,279,395.85
  5. Step 5: Solve for x
    x = 219,279,395.85/22,996.82
  6. Step 6: Final answer
    x = 9,535.21

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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.