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Finding the Fourth Proportional to 11,966.96, 17,953.12 and 3,647.12

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Solution

The fourth proportional to 11,966.96, 17,953.12 and 3,647.12 is: 5,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,966.96 : 17,953.12 = 3,647.12 : x
  2. Step 2: Convert to fraction form
    11,966.96/17,953.12 = 3,647.12/x
  3. Step 3: Cross multiply
    11,966.96x = 17,953.12 × 3,647.12
  4. Step 4: Simplify right side
    11,966.96x = 65,477,183.01
  5. Step 5: Solve for x
    x = 65,477,183.01/11,966.96
  6. Step 6: Final answer
    x = 5,471.50

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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.