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Finding the Fourth Proportional to 8,226.92, 11,276.99 and 8,116.16

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Solution

The fourth proportional to 8,226.92, 11,276.99 and 8,116.16 is: 11,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.92 : 11,276.99 = 8,116.16 : x
  2. Step 2: Convert to fraction form
    8,226.92/11,276.99 = 8,116.16/x
  3. Step 3: Cross multiply
    8,226.92x = 11,276.99 × 8,116.16
  4. Step 4: Simplify right side
    8,226.92x = 91,525,758.19
  5. Step 5: Solve for x
    x = 91,525,758.19/8,226.92
  6. Step 6: Final answer
    x = 11,125.16

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.