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Finding the Fourth Proportional to 9,380.76, 14,072.76 and 4,186.44

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Solution

The fourth proportional to 9,380.76, 14,072.76 and 4,186.44 is: 6,280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.76 : 14,072.76 = 4,186.44 : x
  2. Step 2: Convert to fraction form
    9,380.76/14,072.76 = 4,186.44/x
  3. Step 3: Cross multiply
    9,380.76x = 14,072.76 × 4,186.44
  4. Step 4: Simplify right side
    9,380.76x = 58,914,765.37
  5. Step 5: Solve for x
    x = 58,914,765.37/9,380.76
  6. Step 6: Final answer
    x = 6,280.38

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1.5x scale

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.