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Finding the Fourth Proportional to 9,292.96, 12,829.26 and 7,163.84

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Solution

The fourth proportional to 9,292.96, 12,829.26 and 7,163.84 is: 9,889.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.96 : 12,829.26 = 7,163.84 : x
  2. Step 2: Convert to fraction form
    9,292.96/12,829.26 = 7,163.84/x
  3. Step 3: Cross multiply
    9,292.96x = 12,829.26 × 7,163.84
  4. Step 4: Simplify right side
    9,292.96x = 91,906,765.96
  5. Step 5: Solve for x
    x = 91,906,765.96/9,292.96
  6. Step 6: Final answer
    x = 9,889.93

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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.