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Finding the Fourth Proportional to 6,548.14, 9,815.19 and 3,254.74

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Solution

The fourth proportional to 6,548.14, 9,815.19 and 3,254.74 is: 4,878.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.14 : 9,815.19 = 3,254.74 : x
  2. Step 2: Convert to fraction form
    6,548.14/9,815.19 = 3,254.74/x
  3. Step 3: Cross multiply
    6,548.14x = 9,815.19 × 3,254.74
  4. Step 4: Simplify right side
    6,548.14x = 31,945,891.50
  5. Step 5: Solve for x
    x = 31,945,891.50/6,548.14
  6. Step 6: Final answer
    x = 4,878.62

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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.