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Finding the Fourth Proportional to 8,452.14, 11,668.02 and 5,624.22

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Solution

The fourth proportional to 8,452.14, 11,668.02 and 5,624.22 is: 7,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.14 : 11,668.02 = 5,624.22 : x
  2. Step 2: Convert to fraction form
    8,452.14/11,668.02 = 5,624.22/x
  3. Step 3: Cross multiply
    8,452.14x = 11,668.02 × 5,624.22
  4. Step 4: Simplify right side
    8,452.14x = 65,623,511.44
  5. Step 5: Solve for x
    x = 65,623,511.44/8,452.14
  6. Step 6: Final answer
    x = 7,764.13

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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.