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Finding the Fourth Proportional to 11,795.76, 16,279.20 and 6,761.76

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Solution

The fourth proportional to 11,795.76, 16,279.20 and 6,761.76 is: 9,331.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,795.76 : 16,279.20 = 6,761.76 : x
  2. Step 2: Convert to fraction form
    11,795.76/16,279.20 = 6,761.76/x
  3. Step 3: Cross multiply
    11,795.76x = 16,279.20 × 6,761.76
  4. Step 4: Simplify right side
    11,795.76x = 110,076,043.39
  5. Step 5: Solve for x
    x = 110,076,043.39/11,795.76
  6. Step 6: Final answer
    x = 9,331.83

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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.