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Finding the Fourth Proportional to 6,564.54, 9,841.80 and 3,279.94

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Solution

The fourth proportional to 6,564.54, 9,841.80 and 3,279.94 is: 4,917.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.54 : 9,841.80 = 3,279.94 : x
  2. Step 2: Convert to fraction form
    6,564.54/9,841.80 = 3,279.94/x
  3. Step 3: Cross multiply
    6,564.54x = 9,841.80 × 3,279.94
  4. Step 4: Simplify right side
    6,564.54x = 32,280,447.88
  5. Step 5: Solve for x
    x = 32,280,447.88/6,564.54
  6. Step 6: Final answer
    x = 4,917.40

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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.