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Finding the Fourth Proportional to 4,954.38, 6,837.24 and 2,830.26

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Solution

The fourth proportional to 4,954.38, 6,837.24 and 2,830.26 is: 3,905.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.38 : 6,837.24 = 2,830.26 : x
  2. Step 2: Convert to fraction form
    4,954.38/6,837.24 = 2,830.26/x
  3. Step 3: Cross multiply
    4,954.38x = 6,837.24 × 2,830.26
  4. Step 4: Simplify right side
    4,954.38x = 19,351,166.88
  5. Step 5: Solve for x
    x = 19,351,166.88/4,954.38
  6. Step 6: Final answer
    x = 3,905.87

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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.