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Finding the Fourth Proportional to 6,964.68, 9,611.21 and 3,777.98

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Solution

The fourth proportional to 6,964.68, 9,611.21 and 3,777.98 is: 5,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.68 : 9,611.21 = 3,777.98 : x
  2. Step 2: Convert to fraction form
    6,964.68/9,611.21 = 3,777.98/x
  3. Step 3: Cross multiply
    6,964.68x = 9,611.21 × 3,777.98
  4. Step 4: Simplify right side
    6,964.68x = 36,310,959.16
  5. Step 5: Solve for x
    x = 36,310,959.16/6,964.68
  6. Step 6: Final answer
    x = 5,213.59

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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.