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Finding the Fourth Proportional to 6,657.63, 9,974.14 and 3,362.85

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Solution

The fourth proportional to 6,657.63, 9,974.14 and 3,362.85 is: 5,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.63 : 9,974.14 = 3,362.85 : x
  2. Step 2: Convert to fraction form
    6,657.63/9,974.14 = 3,362.85/x
  3. Step 3: Cross multiply
    6,657.63x = 9,974.14 × 3,362.85
  4. Step 4: Simplify right side
    6,657.63x = 33,541,528.29
  5. Step 5: Solve for x
    x = 33,541,528.29/6,657.63
  6. Step 6: Final answer
    x = 5,038.06

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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.