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Finding the Fourth Proportional to 6,285.50, 9,425.80 and 3,362.20

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Solution

The fourth proportional to 6,285.50, 9,425.80 and 3,362.20 is: 5,041.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.50 : 9,425.80 = 3,362.20 : x
  2. Step 2: Convert to fraction form
    6,285.50/9,425.80 = 3,362.20/x
  3. Step 3: Cross multiply
    6,285.50x = 9,425.80 × 3,362.20
  4. Step 4: Simplify right side
    6,285.50x = 31,691,424.76
  5. Step 5: Solve for x
    x = 31,691,424.76/6,285.50
  6. Step 6: Final answer
    x = 5,041.99

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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.