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Finding the Fourth Proportional to 6,678.48, 9,994.46 and 4,044.50

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Solution

The fourth proportional to 6,678.48, 9,994.46 and 4,044.50 is: 6,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,678.48 : 9,994.46 = 4,044.50 : x
  2. Step 2: Convert to fraction form
    6,678.48/9,994.46 = 4,044.50/x
  3. Step 3: Cross multiply
    6,678.48x = 9,994.46 × 4,044.50
  4. Step 4: Simplify right side
    6,678.48x = 40,422,560.75
  5. Step 5: Solve for x
    x = 40,422,560.75/6,678.48
  6. Step 6: Final answer
    x = 6,052.66

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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.