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Finding the Fourth Proportional to 7,974, 11,004.12 and 4,662

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Solution

The fourth proportional to 7,974, 11,004.12 and 4,662 is: 6,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974 : 11,004.12 = 4,662 : x
  2. Step 2: Convert to fraction form
    7,974/11,004.12 = 4,662/x
  3. Step 3: Cross multiply
    7,974x = 11,004.12 × 4,662
  4. Step 4: Simplify right side
    7,974x = 51,301,207.44
  5. Step 5: Solve for x
    x = 51,301,207.44/7,974
  6. Step 6: Final answer
    x = 6,433.56

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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.