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Finding the Fourth Proportional to 9,381, 14,061.36 and 6,096.44

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Solution

The fourth proportional to 9,381, 14,061.36 and 6,096.44 is: 9,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381 : 14,061.36 = 6,096.44 : x
  2. Step 2: Convert to fraction form
    9,381/14,061.36 = 6,096.44/x
  3. Step 3: Cross multiply
    9,381x = 14,061.36 × 6,096.44
  4. Step 4: Simplify right side
    9,381x = 85,724,237.56
  5. Step 5: Solve for x
    x = 85,724,237.56/9,381
  6. Step 6: Final answer
    x = 9,138.07

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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.