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Finding the Fourth Proportional to 7,654.83, 11,454.89 and 6,000

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Solution

The fourth proportional to 7,654.83, 11,454.89 and 6,000 is: 8,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,654.83 : 11,454.89 = 6,000 : x
  2. Step 2: Convert to fraction form
    7,654.83/11,454.89 = 6,000/x
  3. Step 3: Cross multiply
    7,654.83x = 11,454.89 × 6,000
  4. Step 4: Simplify right side
    7,654.83x = 68,729,310
  5. Step 5: Solve for x
    x = 68,729,310/7,654.83
  6. Step 6: Final answer
    x = 8,978.55

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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.