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Finding the Fourth Proportional to 9,668.62, 13,340.55 and 6,136.30

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Solution

The fourth proportional to 9,668.62, 13,340.55 and 6,136.30 is: 8,466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.62 : 13,340.55 = 6,136.30 : x
  2. Step 2: Convert to fraction form
    9,668.62/13,340.55 = 6,136.30/x
  3. Step 3: Cross multiply
    9,668.62x = 13,340.55 × 6,136.30
  4. Step 4: Simplify right side
    9,668.62x = 81,861,616.97
  5. Step 5: Solve for x
    x = 81,861,616.97/9,668.62
  6. Step 6: Final answer
    x = 8,466.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.