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Finding the Fourth Proportional to 4,843.98, 6,684.63 and 2,854.62

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Solution

The fourth proportional to 4,843.98, 6,684.63 and 2,854.62 is: 3,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.98 : 6,684.63 = 2,854.62 : x
  2. Step 2: Convert to fraction form
    4,843.98/6,684.63 = 2,854.62/x
  3. Step 3: Cross multiply
    4,843.98x = 6,684.63 × 2,854.62
  4. Step 4: Simplify right side
    4,843.98x = 19,082,078.49
  5. Step 5: Solve for x
    x = 19,082,078.49/4,843.98
  6. Step 6: Final answer
    x = 3,939.34

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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.