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Finding the Fourth Proportional to 6,609.75, 9,913.90 and 2,714.16

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Solution

The fourth proportional to 6,609.75, 9,913.90 and 2,714.16 is: 4,070.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.75 : 9,913.90 = 2,714.16 : x
  2. Step 2: Convert to fraction form
    6,609.75/9,913.90 = 2,714.16/x
  3. Step 3: Cross multiply
    6,609.75x = 9,913.90 × 2,714.16
  4. Step 4: Simplify right side
    6,609.75x = 26,907,910.82
  5. Step 5: Solve for x
    x = 26,907,910.82/6,609.75
  6. Step 6: Final answer
    x = 4,070.94

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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.