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Finding the Fourth Proportional to 8,195.56, 11,290.10 and 6,516.42

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Solution

The fourth proportional to 8,195.56, 11,290.10 and 6,516.42 is: 8,976.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.56 : 11,290.10 = 6,516.42 : x
  2. Step 2: Convert to fraction form
    8,195.56/11,290.10 = 6,516.42/x
  3. Step 3: Cross multiply
    8,195.56x = 11,290.10 × 6,516.42
  4. Step 4: Simplify right side
    8,195.56x = 73,571,033.44
  5. Step 5: Solve for x
    x = 73,571,033.44/8,195.56
  6. Step 6: Final answer
    x = 8,976.94

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Half scale
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Double scale
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Similar ratio
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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.