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Finding the Fourth Proportional to 22,647.84, 33,972.21 and 7,857.24

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Solution

The fourth proportional to 22,647.84, 33,972.21 and 7,857.24 is: 11,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,647.84 : 33,972.21 = 7,857.24 : x
  2. Step 2: Convert to fraction form
    22,647.84/33,972.21 = 7,857.24/x
  3. Step 3: Cross multiply
    22,647.84x = 33,972.21 × 7,857.24
  4. Step 4: Simplify right side
    22,647.84x = 266,927,807.30
  5. Step 5: Solve for x
    x = 266,927,807.30/22,647.84
  6. Step 6: Final answer
    x = 11,786.02

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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.