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Finding the Fourth Proportional to 9,213.55, 13,822.71 and 2,640.22

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Solution

The fourth proportional to 9,213.55, 13,822.71 and 2,640.22 is: 3,961.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.55 : 13,822.71 = 2,640.22 : x
  2. Step 2: Convert to fraction form
    9,213.55/13,822.71 = 2,640.22/x
  3. Step 3: Cross multiply
    9,213.55x = 13,822.71 × 2,640.22
  4. Step 4: Simplify right side
    9,213.55x = 36,494,995.40
  5. Step 5: Solve for x
    x = 36,494,995.40/9,213.55
  6. Step 6: Final answer
    x = 3,961.01

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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.