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Finding the Fourth Proportional to 4,905.11, 6,768.90 and 2,780.84

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Solution

The fourth proportional to 4,905.11, 6,768.90 and 2,780.84 is: 3,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,905.11 : 6,768.90 = 2,780.84 : x
  2. Step 2: Convert to fraction form
    4,905.11/6,768.90 = 2,780.84/x
  3. Step 3: Cross multiply
    4,905.11x = 6,768.90 × 2,780.84
  4. Step 4: Simplify right side
    4,905.11x = 18,823,194.03
  5. Step 5: Solve for x
    x = 18,823,194.03/4,905.11
  6. Step 6: Final answer
    x = 3,837.47

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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.