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Finding the Fourth Proportional to 22,148.46, 33,222.56 and 8,109.46

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Solution

The fourth proportional to 22,148.46, 33,222.56 and 8,109.46 is: 12,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,148.46 : 33,222.56 = 8,109.46 : x
  2. Step 2: Convert to fraction form
    22,148.46/33,222.56 = 8,109.46/x
  3. Step 3: Cross multiply
    22,148.46x = 33,222.56 × 8,109.46
  4. Step 4: Simplify right side
    22,148.46x = 269,417,021.42
  5. Step 5: Solve for x
    x = 269,417,021.42/22,148.46
  6. Step 6: Final answer
    x = 12,164.14

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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.