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Finding the Fourth Proportional to 10,993.70, 16,491 and 3,202.51

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Solution

The fourth proportional to 10,993.70, 16,491 and 3,202.51 is: 4,803.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.70 : 16,491 = 3,202.51 : x
  2. Step 2: Convert to fraction form
    10,993.70/16,491 = 3,202.51/x
  3. Step 3: Cross multiply
    10,993.70x = 16,491 × 3,202.51
  4. Step 4: Simplify right side
    10,993.70x = 52,812,509.96
  5. Step 5: Solve for x
    x = 52,812,509.96/10,993.70
  6. Step 6: Final answer
    x = 4,803.89

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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.