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Finding the Fourth Proportional to 22,586.63, 33,878.64 and 6,791.34

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Solution

The fourth proportional to 22,586.63, 33,878.64 and 6,791.34 is: 10,186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,586.63 : 33,878.64 = 6,791.34 : x
  2. Step 2: Convert to fraction form
    22,586.63/33,878.64 = 6,791.34/x
  3. Step 3: Cross multiply
    22,586.63x = 33,878.64 × 6,791.34
  4. Step 4: Simplify right side
    22,586.63x = 230,081,362.98
  5. Step 5: Solve for x
    x = 230,081,362.98/22,586.63
  6. Step 6: Final answer
    x = 10,186.62

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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.