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Finding the Fourth Proportional to 11,604.73, 16,014.42 and 6,299.54

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Solution

The fourth proportional to 11,604.73, 16,014.42 and 6,299.54 is: 8,693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.73 : 16,014.42 = 6,299.54 : x
  2. Step 2: Convert to fraction form
    11,604.73/16,014.42 = 6,299.54/x
  3. Step 3: Cross multiply
    11,604.73x = 16,014.42 × 6,299.54
  4. Step 4: Simplify right side
    11,604.73x = 100,883,479.37
  5. Step 5: Solve for x
    x = 100,883,479.37/11,604.73
  6. Step 6: Final answer
    x = 8,693.31

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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.