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Finding the Fourth Proportional to 4,961.13, 7,478.57 and 4,273.44

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Solution

The fourth proportional to 4,961.13, 7,478.57 and 4,273.44 is: 6,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.13 : 7,478.57 = 4,273.44 : x
  2. Step 2: Convert to fraction form
    4,961.13/7,478.57 = 4,273.44/x
  3. Step 3: Cross multiply
    4,961.13x = 7,478.57 × 4,273.44
  4. Step 4: Simplify right side
    4,961.13x = 31,959,198.81
  5. Step 5: Solve for x
    x = 31,959,198.81/4,961.13
  6. Step 6: Final answer
    x = 6,441.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.