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Finding the Fourth Proportional to 8,267.91, 11,432.14 and 8,134.37

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Solution

The fourth proportional to 8,267.91, 11,432.14 and 8,134.37 is: 11,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.91 : 11,432.14 = 8,134.37 : x
  2. Step 2: Convert to fraction form
    8,267.91/11,432.14 = 8,134.37/x
  3. Step 3: Cross multiply
    8,267.91x = 11,432.14 × 8,134.37
  4. Step 4: Simplify right side
    8,267.91x = 92,993,256.65
  5. Step 5: Solve for x
    x = 92,993,256.65/8,267.91
  6. Step 6: Final answer
    x = 11,247.49

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Half scale
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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.