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Finding the Fourth Proportional to 7,946.01, 11,906.33 and 6,458.03

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Solution

The fourth proportional to 7,946.01, 11,906.33 and 6,458.03 is: 9,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.01 : 11,906.33 = 6,458.03 : x
  2. Step 2: Convert to fraction form
    7,946.01/11,906.33 = 6,458.03/x
  3. Step 3: Cross multiply
    7,946.01x = 11,906.33 × 6,458.03
  4. Step 4: Simplify right side
    7,946.01x = 76,891,376.80
  5. Step 5: Solve for x
    x = 76,891,376.80/7,946.01
  6. Step 6: Final answer
    x = 9,676.73

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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.