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Finding the Fourth Proportional to 6,136.80, 9,205.44 and 1,694.94

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Solution

The fourth proportional to 6,136.80, 9,205.44 and 1,694.94 is: 2,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.80 : 9,205.44 = 1,694.94 : x
  2. Step 2: Convert to fraction form
    6,136.80/9,205.44 = 1,694.94/x
  3. Step 3: Cross multiply
    6,136.80x = 9,205.44 × 1,694.94
  4. Step 4: Simplify right side
    6,136.80x = 15,602,668.47
  5. Step 5: Solve for x
    x = 15,602,668.47/6,136.80
  6. Step 6: Final answer
    x = 2,542.48

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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.