Home / 10,096-15,144.14-3,170.50

Finding the Fourth Proportional to 10,096, 15,144.14 and 3,170.50

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Solution

The fourth proportional to 10,096, 15,144.14 and 3,170.50 is: 4,755.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096 : 15,144.14 = 3,170.50 : x
  2. Step 2: Convert to fraction form
    10,096/15,144.14 = 3,170.50/x
  3. Step 3: Cross multiply
    10,096x = 15,144.14 × 3,170.50
  4. Step 4: Simplify right side
    10,096x = 48,014,495.87
  5. Step 5: Solve for x
    x = 48,014,495.87/10,096
  6. Step 6: Final answer
    x = 4,755.79

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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.