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Finding the Fourth Proportional to 4,912.82, 6,773.19 and 4,070.42

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Solution

The fourth proportional to 4,912.82, 6,773.19 and 4,070.42 is: 5,611.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,912.82 : 6,773.19 = 4,070.42 : x
  2. Step 2: Convert to fraction form
    4,912.82/6,773.19 = 4,070.42/x
  3. Step 3: Cross multiply
    4,912.82x = 6,773.19 × 4,070.42
  4. Step 4: Simplify right side
    4,912.82x = 27,569,728.04
  5. Step 5: Solve for x
    x = 27,569,728.04/4,912.82
  6. Step 6: Final answer
    x = 5,611.79

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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.