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Finding the Fourth Proportional to 6,546.60, 9,807.90 and 3,076.20

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Solution

The fourth proportional to 6,546.60, 9,807.90 and 3,076.20 is: 4,608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.60 : 9,807.90 = 3,076.20 : x
  2. Step 2: Convert to fraction form
    6,546.60/9,807.90 = 3,076.20/x
  3. Step 3: Cross multiply
    6,546.60x = 9,807.90 × 3,076.20
  4. Step 4: Simplify right side
    6,546.60x = 30,171,061.98
  5. Step 5: Solve for x
    x = 30,171,061.98/6,546.60
  6. Step 6: Final answer
    x = 4,608.66

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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.