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Finding the Fourth Proportional to 6,848.75, 10,273.10 and 1,654.63

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Solution

The fourth proportional to 6,848.75, 10,273.10 and 1,654.63 is: 2,481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.75 : 10,273.10 = 1,654.63 : x
  2. Step 2: Convert to fraction form
    6,848.75/10,273.10 = 1,654.63/x
  3. Step 3: Cross multiply
    6,848.75x = 10,273.10 × 1,654.63
  4. Step 4: Simplify right side
    6,848.75x = 16,998,145.50
  5. Step 5: Solve for x
    x = 16,998,145.50/6,848.75
  6. Step 6: Final answer
    x = 2,481.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.