Home / 11,022-16,533.09-4,096.50

Finding the Fourth Proportional to 11,022, 16,533.09 and 4,096.50

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Solution

The fourth proportional to 11,022, 16,533.09 and 4,096.50 is: 6,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022 : 16,533.09 = 4,096.50 : x
  2. Step 2: Convert to fraction form
    11,022/16,533.09 = 4,096.50/x
  3. Step 3: Cross multiply
    11,022x = 16,533.09 × 4,096.50
  4. Step 4: Simplify right side
    11,022x = 67,727,803.19
  5. Step 5: Solve for x
    x = 67,727,803.19/11,022
  6. Step 6: Final answer
    x = 6,144.78

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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.