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Finding the Fourth Proportional to 8,196.76, 11,311.50 and 4,470.76

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Solution

The fourth proportional to 8,196.76, 11,311.50 and 4,470.76 is: 6,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.76 : 11,311.50 = 4,470.76 : x
  2. Step 2: Convert to fraction form
    8,196.76/11,311.50 = 4,470.76/x
  3. Step 3: Cross multiply
    8,196.76x = 11,311.50 × 4,470.76
  4. Step 4: Simplify right side
    8,196.76x = 50,571,001.74
  5. Step 5: Solve for x
    x = 50,571,001.74/8,196.76
  6. Step 6: Final answer
    x = 6,169.63

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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.