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Finding the Fourth Proportional to 8,142.75, 12,214.13 and 3,525.75

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Solution

The fourth proportional to 8,142.75, 12,214.13 and 3,525.75 is: 5,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.75 : 12,214.13 = 3,525.75 : x
  2. Step 2: Convert to fraction form
    8,142.75/12,214.13 = 3,525.75/x
  3. Step 3: Cross multiply
    8,142.75x = 12,214.13 × 3,525.75
  4. Step 4: Simplify right side
    8,142.75x = 43,063,951.22
  5. Step 5: Solve for x
    x = 43,063,951.22/8,142.75
  6. Step 6: Final answer
    x = 5,288.63

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