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Finding the Fourth Proportional to 6,348.48, 9,516.96 and 3,264

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Solution

The fourth proportional to 6,348.48, 9,516.96 and 3,264 is: 4,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.48 : 9,516.96 = 3,264 : x
  2. Step 2: Convert to fraction form
    6,348.48/9,516.96 = 3,264/x
  3. Step 3: Cross multiply
    6,348.48x = 9,516.96 × 3,264
  4. Step 4: Simplify right side
    6,348.48x = 31,063,357.44
  5. Step 5: Solve for x
    x = 31,063,357.44/6,348.48
  6. Step 6: Final answer
    x = 4,893.04

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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.