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Finding the Fourth Proportional to 6,664.76, 9,994.26 and 2,046.68

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Solution

The fourth proportional to 6,664.76, 9,994.26 and 2,046.68 is: 3,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.76 : 9,994.26 = 2,046.68 : x
  2. Step 2: Convert to fraction form
    6,664.76/9,994.26 = 2,046.68/x
  3. Step 3: Cross multiply
    6,664.76x = 9,994.26 × 2,046.68
  4. Step 4: Simplify right side
    6,664.76x = 20,455,052.06
  5. Step 5: Solve for x
    x = 20,455,052.06/6,664.76
  6. Step 6: Final answer
    x = 3,069.14

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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.