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Finding the Fourth Proportional to 6,735.83, 9,295.83 and 3,751.56

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Solution

The fourth proportional to 6,735.83, 9,295.83 and 3,751.56 is: 5,177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.83 : 9,295.83 = 3,751.56 : x
  2. Step 2: Convert to fraction form
    6,735.83/9,295.83 = 3,751.56/x
  3. Step 3: Cross multiply
    6,735.83x = 9,295.83 × 3,751.56
  4. Step 4: Simplify right side
    6,735.83x = 34,873,863.99
  5. Step 5: Solve for x
    x = 34,873,863.99/6,735.83
  6. Step 6: Final answer
    x = 5,177.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.