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Finding the Fourth Proportional to 6,866.09, 9,474.32 and 4,474.97

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Solution

The fourth proportional to 6,866.09, 9,474.32 and 4,474.97 is: 6,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.09 : 9,474.32 = 4,474.97 : x
  2. Step 2: Convert to fraction form
    6,866.09/9,474.32 = 4,474.97/x
  3. Step 3: Cross multiply
    6,866.09x = 9,474.32 × 4,474.97
  4. Step 4: Simplify right side
    6,866.09x = 42,397,261.59
  5. Step 5: Solve for x
    x = 42,397,261.59/6,866.09
  6. Step 6: Final answer
    x = 6,174.88

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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.