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Finding the Fourth Proportional to 4,886.41, 6,743.24 and 2,648.30

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Solution

The fourth proportional to 4,886.41, 6,743.24 and 2,648.30 is: 3,654.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.41 : 6,743.24 = 2,648.30 : x
  2. Step 2: Convert to fraction form
    4,886.41/6,743.24 = 2,648.30/x
  3. Step 3: Cross multiply
    4,886.41x = 6,743.24 × 2,648.30
  4. Step 4: Simplify right side
    4,886.41x = 17,858,122.49
  5. Step 5: Solve for x
    x = 17,858,122.49/4,886.41
  6. Step 6: Final answer
    x = 3,654.65

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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.