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Finding the Fourth Proportional to 4,600.44, 6,898.94 and 1,826.28

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Solution

The fourth proportional to 4,600.44, 6,898.94 and 1,826.28 is: 2,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.44 : 6,898.94 = 1,826.28 : x
  2. Step 2: Convert to fraction form
    4,600.44/6,898.94 = 1,826.28/x
  3. Step 3: Cross multiply
    4,600.44x = 6,898.94 × 1,826.28
  4. Step 4: Simplify right side
    4,600.44x = 12,599,396.14
  5. Step 5: Solve for x
    x = 12,599,396.14/4,600.44
  6. Step 6: Final answer
    x = 2,738.74

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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.