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Finding the Fourth Proportional to 8,196.63, 11,311.34 and 4,470.63

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Solution

The fourth proportional to 8,196.63, 11,311.34 and 4,470.63 is: 6,169.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.63 : 11,311.34 = 4,470.63 : x
  2. Step 2: Convert to fraction form
    8,196.63/11,311.34 = 4,470.63/x
  3. Step 3: Cross multiply
    8,196.63x = 11,311.34 × 4,470.63
  4. Step 4: Simplify right side
    8,196.63x = 50,568,815.94
  5. Step 5: Solve for x
    x = 50,568,815.94/8,196.63
  6. Step 6: Final answer
    x = 6,169.46

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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.