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Finding the Fourth Proportional to 22,757.69, 34,127.87 and 6,957.90

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Solution

The fourth proportional to 22,757.69, 34,127.87 and 6,957.90 is: 10,434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.69 : 34,127.87 = 6,957.90 : x
  2. Step 2: Convert to fraction form
    22,757.69/34,127.87 = 6,957.90/x
  3. Step 3: Cross multiply
    22,757.69x = 34,127.87 × 6,957.90
  4. Step 4: Simplify right side
    22,757.69x = 237,458,271.88
  5. Step 5: Solve for x
    x = 237,458,271.88/22,757.69
  6. Step 6: Final answer
    x = 10,434.20

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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.