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Finding the Fourth Proportional to 6,966.88, 9,611.24 and 4,170.76

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Solution

The fourth proportional to 6,966.88, 9,611.24 and 4,170.76 is: 5,753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.88 : 9,611.24 = 4,170.76 : x
  2. Step 2: Convert to fraction form
    6,966.88/9,611.24 = 4,170.76/x
  3. Step 3: Cross multiply
    6,966.88x = 9,611.24 × 4,170.76
  4. Step 4: Simplify right side
    6,966.88x = 40,086,175.34
  5. Step 5: Solve for x
    x = 40,086,175.34/6,966.88
  6. Step 6: Final answer
    x = 5,753.82

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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.