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Finding the Fourth Proportional to 6,563.70, 9,865.89 and 3,795.93

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Solution

The fourth proportional to 6,563.70, 9,865.89 and 3,795.93 is: 5,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,563.70 : 9,865.89 = 3,795.93 : x
  2. Step 2: Convert to fraction form
    6,563.70/9,865.89 = 3,795.93/x
  3. Step 3: Cross multiply
    6,563.70x = 9,865.89 × 3,795.93
  4. Step 4: Simplify right side
    6,563.70x = 37,450,227.83
  5. Step 5: Solve for x
    x = 37,450,227.83/6,563.70
  6. Step 6: Final answer
    x = 5,705.66

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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.