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Finding the Fourth Proportional to 5,853.78, 8,768.16 and 4,738.38

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Solution

The fourth proportional to 5,853.78, 8,768.16 and 4,738.38 is: 7,097.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.78 : 8,768.16 = 4,738.38 : x
  2. Step 2: Convert to fraction form
    5,853.78/8,768.16 = 4,738.38/x
  3. Step 3: Cross multiply
    5,853.78x = 8,768.16 × 4,738.38
  4. Step 4: Simplify right side
    5,853.78x = 41,546,873.98
  5. Step 5: Solve for x
    x = 41,546,873.98/5,853.78
  6. Step 6: Final answer
    x = 7,097.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.