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Finding the Fourth Proportional to 4,954.87, 6,837.93 and 2,830.75

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Solution

The fourth proportional to 4,954.87, 6,837.93 and 2,830.75 is: 3,906.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.87 : 6,837.93 = 2,830.75 : x
  2. Step 2: Convert to fraction form
    4,954.87/6,837.93 = 2,830.75/x
  3. Step 3: Cross multiply
    4,954.87x = 6,837.93 × 2,830.75
  4. Step 4: Simplify right side
    4,954.87x = 19,356,470.35
  5. Step 5: Solve for x
    x = 19,356,470.35/4,954.87
  6. Step 6: Final answer
    x = 3,906.55

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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.