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Finding the Fourth Proportional to 6,668.52, 9,997.35 and 2,775.84

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Solution

The fourth proportional to 6,668.52, 9,997.35 and 2,775.84 is: 4,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.52 : 9,997.35 = 2,775.84 : x
  2. Step 2: Convert to fraction form
    6,668.52/9,997.35 = 2,775.84/x
  3. Step 3: Cross multiply
    6,668.52x = 9,997.35 × 2,775.84
  4. Step 4: Simplify right side
    6,668.52x = 27,751,044.02
  5. Step 5: Solve for x
    x = 27,751,044.02/6,668.52
  6. Step 6: Final answer
    x = 4,161.50

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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.