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Finding the Fourth Proportional to 9,262.31, 13,893.91 and 3,022.31

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Solution

The fourth proportional to 9,262.31, 13,893.91 and 3,022.31 is: 4,533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.31 : 13,893.91 = 3,022.31 : x
  2. Step 2: Convert to fraction form
    9,262.31/13,893.91 = 3,022.31/x
  3. Step 3: Cross multiply
    9,262.31x = 13,893.91 × 3,022.31
  4. Step 4: Simplify right side
    9,262.31x = 41,991,688.02
  5. Step 5: Solve for x
    x = 41,991,688.02/9,262.31
  6. Step 6: Final answer
    x = 4,533.61

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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.