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Finding the Fourth Proportional to 6,964.56, 9,611.13 and 4,170.06

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Solution

The fourth proportional to 6,964.56, 9,611.13 and 4,170.06 is: 5,754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.56 : 9,611.13 = 4,170.06 : x
  2. Step 2: Convert to fraction form
    6,964.56/9,611.13 = 4,170.06/x
  3. Step 3: Cross multiply
    6,964.56x = 9,611.13 × 4,170.06
  4. Step 4: Simplify right side
    6,964.56x = 40,078,988.77
  5. Step 5: Solve for x
    x = 40,078,988.77/6,964.56
  6. Step 6: Final answer
    x = 5,754.71

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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.