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Finding the Fourth Proportional to 22,772.16, 34,158.24 and 7,191

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Solution

The fourth proportional to 22,772.16, 34,158.24 and 7,191 is: 10,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,772.16 : 34,158.24 = 7,191 : x
  2. Step 2: Convert to fraction form
    22,772.16/34,158.24 = 7,191/x
  3. Step 3: Cross multiply
    22,772.16x = 34,158.24 × 7,191
  4. Step 4: Simplify right side
    22,772.16x = 245,631,903.84
  5. Step 5: Solve for x
    x = 245,631,903.84/22,772.16
  6. Step 6: Final answer
    x = 10,786.50

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Similar ratio
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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.