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Finding the Fourth Proportional to 7,071, 10,608.84 and 3,783.36

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Solution

The fourth proportional to 7,071, 10,608.84 and 3,783.36 is: 5,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071 : 10,608.84 = 3,783.36 : x
  2. Step 2: Convert to fraction form
    7,071/10,608.84 = 3,783.36/x
  3. Step 3: Cross multiply
    7,071x = 10,608.84 × 3,783.36
  4. Step 4: Simplify right side
    7,071x = 40,137,060.90
  5. Step 5: Solve for x
    x = 40,137,060.90/7,071
  6. Step 6: Final answer
    x = 5,676.29

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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.