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Finding the Fourth Proportional to 7,843.54, 10,819.32 and 4,654.73

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Solution

The fourth proportional to 7,843.54, 10,819.32 and 4,654.73 is: 6,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.54 : 10,819.32 = 4,654.73 : x
  2. Step 2: Convert to fraction form
    7,843.54/10,819.32 = 4,654.73/x
  3. Step 3: Cross multiply
    7,843.54x = 10,819.32 × 4,654.73
  4. Step 4: Simplify right side
    7,843.54x = 50,361,013.38
  5. Step 5: Solve for x
    x = 50,361,013.38/7,843.54
  6. Step 6: Final answer
    x = 6,420.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.