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Finding the Fourth Proportional to 9,894.14, 13,654.94 and 5,863.38

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Solution

The fourth proportional to 9,894.14, 13,654.94 and 5,863.38 is: 8,092.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.14 : 13,654.94 = 5,863.38 : x
  2. Step 2: Convert to fraction form
    9,894.14/13,654.94 = 5,863.38/x
  3. Step 3: Cross multiply
    9,894.14x = 13,654.94 × 5,863.38
  4. Step 4: Simplify right side
    9,894.14x = 80,064,102.10
  5. Step 5: Solve for x
    x = 80,064,102.10/9,894.14
  6. Step 6: Final answer
    x = 8,092.07

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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.