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Finding the Fourth Proportional to 22,576.79, 33,864.94 and 6,781.14

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Solution

The fourth proportional to 22,576.79, 33,864.94 and 6,781.14 is: 10,171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576.79 : 33,864.94 = 6,781.14 : x
  2. Step 2: Convert to fraction form
    22,576.79/33,864.94 = 6,781.14/x
  3. Step 3: Cross multiply
    22,576.79x = 33,864.94 × 6,781.14
  4. Step 4: Simplify right side
    22,576.79x = 229,642,907.71
  5. Step 5: Solve for x
    x = 229,642,907.71/22,576.79
  6. Step 6: Final answer
    x = 10,171.64

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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.