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Finding the Fourth Proportional to 24,452.28, 36,678.42 and 6,922.20

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Solution

The fourth proportional to 24,452.28, 36,678.42 and 6,922.20 is: 10,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,452.28 : 36,678.42 = 6,922.20 : x
  2. Step 2: Convert to fraction form
    24,452.28/36,678.42 = 6,922.20/x
  3. Step 3: Cross multiply
    24,452.28x = 36,678.42 × 6,922.20
  4. Step 4: Simplify right side
    24,452.28x = 253,895,358.92
  5. Step 5: Solve for x
    x = 253,895,358.92/24,452.28
  6. Step 6: Final answer
    x = 10,383.30

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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.