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Finding the Fourth Proportional to 11,953.64, 17,933.70 and 4,163.06

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Solution

The fourth proportional to 11,953.64, 17,933.70 and 4,163.06 is: 6,245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.64 : 17,933.70 = 4,163.06 : x
  2. Step 2: Convert to fraction form
    11,953.64/17,933.70 = 4,163.06/x
  3. Step 3: Cross multiply
    11,953.64x = 17,933.70 × 4,163.06
  4. Step 4: Simplify right side
    11,953.64x = 74,659,069.12
  5. Step 5: Solve for x
    x = 74,659,069.12/11,953.64
  6. Step 6: Final answer
    x = 6,245.72

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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.