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Finding the Fourth Proportional to 8,000.46, 11,035.78 and 5,163.38

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Solution

The fourth proportional to 8,000.46, 11,035.78 and 5,163.38 is: 7,122.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.46 : 11,035.78 = 5,163.38 : x
  2. Step 2: Convert to fraction form
    8,000.46/11,035.78 = 5,163.38/x
  3. Step 3: Cross multiply
    8,000.46x = 11,035.78 × 5,163.38
  4. Step 4: Simplify right side
    8,000.46x = 56,981,925.74
  5. Step 5: Solve for x
    x = 56,981,925.74/8,000.46
  6. Step 6: Final answer
    x = 7,122.33

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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.