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Finding the Fourth Proportional to 6,136.79, 9,207.92 and 3,214.42

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Solution

The fourth proportional to 6,136.79, 9,207.92 and 3,214.42 is: 4,823.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.79 : 9,207.92 = 3,214.42 : x
  2. Step 2: Convert to fraction form
    6,136.79/9,207.92 = 3,214.42/x
  3. Step 3: Cross multiply
    6,136.79x = 9,207.92 × 3,214.42
  4. Step 4: Simplify right side
    6,136.79x = 29,598,107.22
  5. Step 5: Solve for x
    x = 29,598,107.22/6,136.79
  6. Step 6: Final answer
    x = 4,823.06

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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.