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Finding the Fourth Proportional to 8,234.76, 11,366.10 and 5,049.12

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Solution

The fourth proportional to 8,234.76, 11,366.10 and 5,049.12 is: 6,969.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.76 : 11,366.10 = 5,049.12 : x
  2. Step 2: Convert to fraction form
    8,234.76/11,366.10 = 5,049.12/x
  3. Step 3: Cross multiply
    8,234.76x = 11,366.10 × 5,049.12
  4. Step 4: Simplify right side
    8,234.76x = 57,388,802.83
  5. Step 5: Solve for x
    x = 57,388,802.83/8,234.76
  6. Step 6: Final answer
    x = 6,969.09

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.