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Finding the Fourth Proportional to 6,905.22, 9,529.20 and 3,761.41

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Solution

The fourth proportional to 6,905.22, 9,529.20 and 3,761.41 is: 5,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.22 : 9,529.20 = 3,761.41 : x
  2. Step 2: Convert to fraction form
    6,905.22/9,529.20 = 3,761.41/x
  3. Step 3: Cross multiply
    6,905.22x = 9,529.20 × 3,761.41
  4. Step 4: Simplify right side
    6,905.22x = 35,843,228.17
  5. Step 5: Solve for x
    x = 35,843,228.17/6,905.22
  6. Step 6: Final answer
    x = 5,190.74

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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.