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Finding the Fourth Proportional to 4,906.38, 6,770.87 and 2,810.50

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Solution

The fourth proportional to 4,906.38, 6,770.87 and 2,810.50 is: 3,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.38 : 6,770.87 = 2,810.50 : x
  2. Step 2: Convert to fraction form
    4,906.38/6,770.87 = 2,810.50/x
  3. Step 3: Cross multiply
    4,906.38x = 6,770.87 × 2,810.50
  4. Step 4: Simplify right side
    4,906.38x = 19,029,516.08
  5. Step 5: Solve for x
    x = 19,029,516.08/4,906.38
  6. Step 6: Final answer
    x = 3,878.53

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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.