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Finding the Fourth Proportional to 6,329.71, 8,735.74 and 3,813.09

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Solution

The fourth proportional to 6,329.71, 8,735.74 and 3,813.09 is: 5,262.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.71 : 8,735.74 = 3,813.09 : x
  2. Step 2: Convert to fraction form
    6,329.71/8,735.74 = 3,813.09/x
  3. Step 3: Cross multiply
    6,329.71x = 8,735.74 × 3,813.09
  4. Step 4: Simplify right side
    6,329.71x = 33,310,162.84
  5. Step 5: Solve for x
    x = 33,310,162.84/6,329.71
  6. Step 6: Final answer
    x = 5,262.51

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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.