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Finding the Fourth Proportional to 9,651.75, 13,268.30 and 8,302.41

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Solution

The fourth proportional to 9,651.75, 13,268.30 and 8,302.41 is: 11,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.75 : 13,268.30 = 8,302.41 : x
  2. Step 2: Convert to fraction form
    9,651.75/13,268.30 = 8,302.41/x
  3. Step 3: Cross multiply
    9,651.75x = 13,268.30 × 8,302.41
  4. Step 4: Simplify right side
    9,651.75x = 110,158,825.09
  5. Step 5: Solve for x
    x = 110,158,825.09/9,651.75
  6. Step 6: Final answer
    x = 11,413.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.