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Finding the Fourth Proportional to 5,965.94, 8,239.12 and 4,471.49

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Solution

The fourth proportional to 5,965.94, 8,239.12 and 4,471.49 is: 6,175.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.94 : 8,239.12 = 4,471.49 : x
  2. Step 2: Convert to fraction form
    5,965.94/8,239.12 = 4,471.49/x
  3. Step 3: Cross multiply
    5,965.94x = 8,239.12 × 4,471.49
  4. Step 4: Simplify right side
    5,965.94x = 36,841,079.14
  5. Step 5: Solve for x
    x = 36,841,079.14/5,965.94
  6. Step 6: Final answer
    x = 6,175.24

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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.