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Finding the Fourth Proportional to 4,967.97, 6,855.06 and 2,843.16

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Solution

The fourth proportional to 4,967.97, 6,855.06 and 2,843.16 is: 3,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.97 : 6,855.06 = 2,843.16 : x
  2. Step 2: Convert to fraction form
    4,967.97/6,855.06 = 2,843.16/x
  3. Step 3: Cross multiply
    4,967.97x = 6,855.06 × 2,843.16
  4. Step 4: Simplify right side
    4,967.97x = 19,490,032.39
  5. Step 5: Solve for x
    x = 19,490,032.39/4,967.97
  6. Step 6: Final answer
    x = 3,923.14

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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.