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Finding the Fourth Proportional to 6,072.82, 8,381 and 3,420.48

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Solution

The fourth proportional to 6,072.82, 8,381 and 3,420.48 is: 4,720.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.82 : 8,381 = 3,420.48 : x
  2. Step 2: Convert to fraction form
    6,072.82/8,381 = 3,420.48/x
  3. Step 3: Cross multiply
    6,072.82x = 8,381 × 3,420.48
  4. Step 4: Simplify right side
    6,072.82x = 28,667,042.88
  5. Step 5: Solve for x
    x = 28,667,042.88/6,072.82
  6. Step 6: Final answer
    x = 4,720.55

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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.