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Finding the Fourth Proportional to 9,896.96, 13,654.42 and 5,644.97

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Solution

The fourth proportional to 9,896.96, 13,654.42 and 5,644.97 is: 7,788.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.96 : 13,654.42 = 5,644.97 : x
  2. Step 2: Convert to fraction form
    9,896.96/13,654.42 = 5,644.97/x
  3. Step 3: Cross multiply
    9,896.96x = 13,654.42 × 5,644.97
  4. Step 4: Simplify right side
    9,896.96x = 77,078,694.77
  5. Step 5: Solve for x
    x = 77,078,694.77/9,896.96
  6. Step 6: Final answer
    x = 7,788.12

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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.