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Finding the Fourth Proportional to 4,950.92, 6,832.86 and 2,855

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Solution

The fourth proportional to 4,950.92, 6,832.86 and 2,855 is: 3,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,950.92 : 6,832.86 = 2,855 : x
  2. Step 2: Convert to fraction form
    4,950.92/6,832.86 = 2,855/x
  3. Step 3: Cross multiply
    4,950.92x = 6,832.86 × 2,855
  4. Step 4: Simplify right side
    4,950.92x = 19,507,815.30
  5. Step 5: Solve for x
    x = 19,507,815.30/4,950.92
  6. Step 6: Final answer
    x = 3,940.24

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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.