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Finding the Fourth Proportional to 6,131.68, 9,136.62 and 5,834.14

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Solution

The fourth proportional to 6,131.68, 9,136.62 and 5,834.14 is: 8,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.68 : 9,136.62 = 5,834.14 : x
  2. Step 2: Convert to fraction form
    6,131.68/9,136.62 = 5,834.14/x
  3. Step 3: Cross multiply
    6,131.68x = 9,136.62 × 5,834.14
  4. Step 4: Simplify right side
    6,131.68x = 53,304,320.21
  5. Step 5: Solve for x
    x = 53,304,320.21/6,131.68
  6. Step 6: Final answer
    x = 8,693.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.