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Finding the Fourth Proportional to 22,757.63, 34,142.20 and 6,341.63

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Solution

The fourth proportional to 22,757.63, 34,142.20 and 6,341.63 is: 9,514.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.63 : 34,142.20 = 6,341.63 : x
  2. Step 2: Convert to fraction form
    22,757.63/34,142.20 = 6,341.63/x
  3. Step 3: Cross multiply
    22,757.63x = 34,142.20 × 6,341.63
  4. Step 4: Simplify right side
    22,757.63x = 216,517,013.22
  5. Step 5: Solve for x
    x = 216,517,013.22/22,757.63
  6. Step 6: Final answer
    x = 9,514.04

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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.