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Finding the Fourth Proportional to 4,611.44, 6,913.24 and 1,687.76

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Solution

The fourth proportional to 4,611.44, 6,913.24 and 1,687.76 is: 2,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.44 : 6,913.24 = 1,687.76 : x
  2. Step 2: Convert to fraction form
    4,611.44/6,913.24 = 1,687.76/x
  3. Step 3: Cross multiply
    4,611.44x = 6,913.24 × 1,687.76
  4. Step 4: Simplify right side
    4,611.44x = 11,667,889.94
  5. Step 5: Solve for x
    x = 11,667,889.94/4,611.44
  6. Step 6: Final answer
    x = 2,530.21

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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.