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Finding the Fourth Proportional to 7,896.40, 10,889.46 and 6,101.02

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Solution

The fourth proportional to 7,896.40, 10,889.46 and 6,101.02 is: 8,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.40 : 10,889.46 = 6,101.02 : x
  2. Step 2: Convert to fraction form
    7,896.40/10,889.46 = 6,101.02/x
  3. Step 3: Cross multiply
    7,896.40x = 10,889.46 × 6,101.02
  4. Step 4: Simplify right side
    7,896.40x = 66,436,813.25
  5. Step 5: Solve for x
    x = 66,436,813.25/7,896.40
  6. Step 6: Final answer
    x = 8,413.56

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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.