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Finding the Fourth Proportional to 6,302.91, 9,452.69 and 3,829.17

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Solution

The fourth proportional to 6,302.91, 9,452.69 and 3,829.17 is: 5,742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.91 : 9,452.69 = 3,829.17 : x
  2. Step 2: Convert to fraction form
    6,302.91/9,452.69 = 3,829.17/x
  3. Step 3: Cross multiply
    6,302.91x = 9,452.69 × 3,829.17
  4. Step 4: Simplify right side
    6,302.91x = 36,195,937.82
  5. Step 5: Solve for x
    x = 36,195,937.82/6,302.91
  6. Step 6: Final answer
    x = 5,742.73

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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.