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Finding the Fourth Proportional to 7,786.44, 11,668.14 and 4,668.12

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Solution

The fourth proportional to 7,786.44, 11,668.14 and 4,668.12 is: 6,995.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.44 : 11,668.14 = 4,668.12 : x
  2. Step 2: Convert to fraction form
    7,786.44/11,668.14 = 4,668.12/x
  3. Step 3: Cross multiply
    7,786.44x = 11,668.14 × 4,668.12
  4. Step 4: Simplify right side
    7,786.44x = 54,468,277.70
  5. Step 5: Solve for x
    x = 54,468,277.70/7,786.44
  6. Step 6: Final answer
    x = 6,995.27

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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.