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Finding the Fourth Proportional to 22,628.78, 33,946.94 and 9,482.14

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Solution

The fourth proportional to 22,628.78, 33,946.94 and 9,482.14 is: 14,224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,628.78 : 33,946.94 = 9,482.14 : x
  2. Step 2: Convert to fraction form
    22,628.78/33,946.94 = 9,482.14/x
  3. Step 3: Cross multiply
    22,628.78x = 33,946.94 × 9,482.14
  4. Step 4: Simplify right side
    22,628.78x = 321,889,576.49
  5. Step 5: Solve for x
    x = 321,889,576.49/22,628.78
  6. Step 6: Final answer
    x = 14,224.79

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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.