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Finding the Fourth Proportional to 11,898.84, 16,420.41 and 7,183.02

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Solution

The fourth proportional to 11,898.84, 16,420.41 and 7,183.02 is: 9,912.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898.84 : 16,420.41 = 7,183.02 : x
  2. Step 2: Convert to fraction form
    11,898.84/16,420.41 = 7,183.02/x
  3. Step 3: Cross multiply
    11,898.84x = 16,420.41 × 7,183.02
  4. Step 4: Simplify right side
    11,898.84x = 117,948,133.44
  5. Step 5: Solve for x
    x = 117,948,133.44/11,898.84
  6. Step 6: Final answer
    x = 9,912.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.