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Finding the Fourth Proportional to 6,709.50, 9,257.81 and 3,837.83

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Solution

The fourth proportional to 6,709.50, 9,257.81 and 3,837.83 is: 5,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.50 : 9,257.81 = 3,837.83 : x
  2. Step 2: Convert to fraction form
    6,709.50/9,257.81 = 3,837.83/x
  3. Step 3: Cross multiply
    6,709.50x = 9,257.81 × 3,837.83
  4. Step 4: Simplify right side
    6,709.50x = 35,529,835.47
  5. Step 5: Solve for x
    x = 35,529,835.47/6,709.50
  6. Step 6: Final answer
    x = 5,295.45

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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.