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Finding the Fourth Proportional to 6,072.88, 8,381 and 3,420.52

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Solution

The fourth proportional to 6,072.88, 8,381 and 3,420.52 is: 4,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.88 : 8,381 = 3,420.52 : x
  2. Step 2: Convert to fraction form
    6,072.88/8,381 = 3,420.52/x
  3. Step 3: Cross multiply
    6,072.88x = 8,381 × 3,420.52
  4. Step 4: Simplify right side
    6,072.88x = 28,667,378.12
  5. Step 5: Solve for x
    x = 28,667,378.12/6,072.88
  6. Step 6: Final answer
    x = 4,720.56

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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.