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Finding the Fourth Proportional to 11,225, 16,839.94 and 4,299.50

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Solution

The fourth proportional to 11,225, 16,839.94 and 4,299.50 is: 6,450.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,225 : 16,839.94 = 4,299.50 : x
  2. Step 2: Convert to fraction form
    11,225/16,839.94 = 4,299.50/x
  3. Step 3: Cross multiply
    11,225x = 16,839.94 × 4,299.50
  4. Step 4: Simplify right side
    11,225x = 72,403,322.03
  5. Step 5: Solve for x
    x = 72,403,322.03/11,225
  6. Step 6: Final answer
    x = 6,450.18

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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.