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Finding the Fourth Proportional to 9,896.78, 14,837.18 and 6,768.97

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Solution

The fourth proportional to 9,896.78, 14,837.18 and 6,768.97 is: 10,147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.78 : 14,837.18 = 6,768.97 : x
  2. Step 2: Convert to fraction form
    9,896.78/14,837.18 = 6,768.97/x
  3. Step 3: Cross multiply
    9,896.78x = 14,837.18 × 6,768.97
  4. Step 4: Simplify right side
    9,896.78x = 100,432,355.37
  5. Step 5: Solve for x
    x = 100,432,355.37/9,896.78
  6. Step 6: Final answer
    x = 10,147.98

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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.