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Finding the Fourth Proportional to 22,513.61, 33,771.10 and 7,722.32

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Solution

The fourth proportional to 22,513.61, 33,771.10 and 7,722.32 is: 11,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,513.61 : 33,771.10 = 7,722.32 : x
  2. Step 2: Convert to fraction form
    22,513.61/33,771.10 = 7,722.32/x
  3. Step 3: Cross multiply
    22,513.61x = 33,771.10 × 7,722.32
  4. Step 4: Simplify right side
    22,513.61x = 260,791,136.48
  5. Step 5: Solve for x
    x = 260,791,136.48/22,513.61
  6. Step 6: Final answer
    x = 11,583.71

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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.