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Finding the Fourth Proportional to 4,896.82, 6,742.74 and 4,339.54

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Solution

The fourth proportional to 4,896.82, 6,742.74 and 4,339.54 is: 5,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.82 : 6,742.74 = 4,339.54 : x
  2. Step 2: Convert to fraction form
    4,896.82/6,742.74 = 4,339.54/x
  3. Step 3: Cross multiply
    4,896.82x = 6,742.74 × 4,339.54
  4. Step 4: Simplify right side
    4,896.82x = 29,260,389.94
  5. Step 5: Solve for x
    x = 29,260,389.94/4,896.82
  6. Step 6: Final answer
    x = 5,975.39

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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.