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Finding the Fourth Proportional to 6,072.41, 8,381 and 5,795.39

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Solution

The fourth proportional to 6,072.41, 8,381 and 5,795.39 is: 7,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.41 : 8,381 = 5,795.39 : x
  2. Step 2: Convert to fraction form
    6,072.41/8,381 = 5,795.39/x
  3. Step 3: Cross multiply
    6,072.41x = 8,381 × 5,795.39
  4. Step 4: Simplify right side
    6,072.41x = 48,571,163.59
  5. Step 5: Solve for x
    x = 48,571,163.59/6,072.41
  6. Step 6: Final answer
    x = 7,998.66

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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.