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Finding the Fourth Proportional to 20,506.20, 30,760.82 and 7,358.69

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Solution

The fourth proportional to 20,506.20, 30,760.82 and 7,358.69 is: 11,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.20 : 30,760.82 = 7,358.69 : x
  2. Step 2: Convert to fraction form
    20,506.20/30,760.82 = 7,358.69/x
  3. Step 3: Cross multiply
    20,506.20x = 30,760.82 × 7,358.69
  4. Step 4: Simplify right side
    20,506.20x = 226,359,147.93
  5. Step 5: Solve for x
    x = 226,359,147.93/20,506.20
  6. Step 6: Final answer
    x = 11,038.57

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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.