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Finding the Fourth Proportional to 6,917.76, 9,546.26 and 3,773.88

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Solution

The fourth proportional to 6,917.76, 9,546.26 and 3,773.88 is: 5,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.76 : 9,546.26 = 3,773.88 : x
  2. Step 2: Convert to fraction form
    6,917.76/9,546.26 = 3,773.88/x
  3. Step 3: Cross multiply
    6,917.76x = 9,546.26 × 3,773.88
  4. Step 4: Simplify right side
    6,917.76x = 36,026,420.82
  5. Step 5: Solve for x
    x = 36,026,420.82/6,917.76
  6. Step 6: Final answer
    x = 5,207.82

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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.