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Finding the Fourth Proportional to 10,993.88, 16,493.53 and 3,202.76

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Solution

The fourth proportional to 10,993.88, 16,493.53 and 3,202.76 is: 4,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.88 : 16,493.53 = 3,202.76 : x
  2. Step 2: Convert to fraction form
    10,993.88/16,493.53 = 3,202.76/x
  3. Step 3: Cross multiply
    10,993.88x = 16,493.53 × 3,202.76
  4. Step 4: Simplify right side
    10,993.88x = 52,824,818.14
  5. Step 5: Solve for x
    x = 52,824,818.14/10,993.88
  6. Step 6: Final answer
    x = 4,804.93

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1.5x scale

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.