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Finding the Fourth Proportional to 6,548.50, 9,809.61 and 3,251.62

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Solution

The fourth proportional to 6,548.50, 9,809.61 and 3,251.62 is: 4,870.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.50 : 9,809.61 = 3,251.62 : x
  2. Step 2: Convert to fraction form
    6,548.50/9,809.61 = 3,251.62/x
  3. Step 3: Cross multiply
    6,548.50x = 9,809.61 × 3,251.62
  4. Step 4: Simplify right side
    6,548.50x = 31,897,124.07
  5. Step 5: Solve for x
    x = 31,897,124.07/6,548.50
  6. Step 6: Final answer
    x = 4,870.91

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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.