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Finding the Fourth Proportional to 6,431.97, 9,650.97 and 2,275.12

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Solution

The fourth proportional to 6,431.97, 9,650.97 and 2,275.12 is: 3,413.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.97 : 9,650.97 = 2,275.12 : x
  2. Step 2: Convert to fraction form
    6,431.97/9,650.97 = 2,275.12/x
  3. Step 3: Cross multiply
    6,431.97x = 9,650.97 × 2,275.12
  4. Step 4: Simplify right side
    6,431.97x = 21,957,090.74
  5. Step 5: Solve for x
    x = 21,957,090.74/6,431.97
  6. Step 6: Final answer
    x = 3,413.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.