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Finding the Fourth Proportional to 9,896.14, 13,657.70 and 5,865.38

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Solution

The fourth proportional to 9,896.14, 13,657.70 and 5,865.38 is: 8,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.14 : 13,657.70 = 5,865.38 : x
  2. Step 2: Convert to fraction form
    9,896.14/13,657.70 = 5,865.38/x
  3. Step 3: Cross multiply
    9,896.14x = 13,657.70 × 5,865.38
  4. Step 4: Simplify right side
    9,896.14x = 80,107,600.43
  5. Step 5: Solve for x
    x = 80,107,600.43/9,896.14
  6. Step 6: Final answer
    x = 8,094.83

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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.