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Finding the Fourth Proportional to 9,273.92, 13,828.14 and 8,243.60

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Solution

The fourth proportional to 9,273.92, 13,828.14 and 8,243.60 is: 12,291.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.92 : 13,828.14 = 8,243.60 : x
  2. Step 2: Convert to fraction form
    9,273.92/13,828.14 = 8,243.60/x
  3. Step 3: Cross multiply
    9,273.92x = 13,828.14 × 8,243.60
  4. Step 4: Simplify right side
    9,273.92x = 113,993,654.90
  5. Step 5: Solve for x
    x = 113,993,654.90/9,273.92
  6. Step 6: Final answer
    x = 12,291.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.