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Finding the Fourth Proportional to 6,664.81, 9,994.30 and 3,544.06

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Solution

The fourth proportional to 6,664.81, 9,994.30 and 3,544.06 is: 5,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.81 : 9,994.30 = 3,544.06 : x
  2. Step 2: Convert to fraction form
    6,664.81/9,994.30 = 3,544.06/x
  3. Step 3: Cross multiply
    6,664.81x = 9,994.30 × 3,544.06
  4. Step 4: Simplify right side
    6,664.81x = 35,420,398.86
  5. Step 5: Solve for x
    x = 35,420,398.86/6,664.81
  6. Step 6: Final answer
    x = 5,314.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.