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Finding the Fourth Proportional to 6,564.36, 9,853.02 and 3,279

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Solution

The fourth proportional to 6,564.36, 9,853.02 and 3,279 is: 4,921.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.36 : 9,853.02 = 3,279 : x
  2. Step 2: Convert to fraction form
    6,564.36/9,853.02 = 3,279/x
  3. Step 3: Cross multiply
    6,564.36x = 9,853.02 × 3,279
  4. Step 4: Simplify right side
    6,564.36x = 32,308,052.58
  5. Step 5: Solve for x
    x = 32,308,052.58/6,564.36
  6. Step 6: Final answer
    x = 4,921.74

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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.