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Finding the Fourth Proportional to 6,783.41, 10,171.47 and 2,101.41

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Solution

The fourth proportional to 6,783.41, 10,171.47 and 2,101.41 is: 3,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.41 : 10,171.47 = 2,101.41 : x
  2. Step 2: Convert to fraction form
    6,783.41/10,171.47 = 2,101.41/x
  3. Step 3: Cross multiply
    6,783.41x = 10,171.47 × 2,101.41
  4. Step 4: Simplify right side
    6,783.41x = 21,374,436.65
  5. Step 5: Solve for x
    x = 21,374,436.65/6,783.41
  6. Step 6: Final answer
    x = 3,150.99

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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.