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Finding the Fourth Proportional to 5,974.46, 8,233.11 and 4,484.06

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Solution

The fourth proportional to 5,974.46, 8,233.11 and 4,484.06 is: 6,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.46 : 8,233.11 = 4,484.06 : x
  2. Step 2: Convert to fraction form
    5,974.46/8,233.11 = 4,484.06/x
  3. Step 3: Cross multiply
    5,974.46x = 8,233.11 × 4,484.06
  4. Step 4: Simplify right side
    5,974.46x = 36,917,759.23
  5. Step 5: Solve for x
    x = 36,917,759.23/5,974.46
  6. Step 6: Final answer
    x = 6,179.26

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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.