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Finding the Fourth Proportional to 11,230.92, 16,822.08 and 7,323.48

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Solution

The fourth proportional to 11,230.92, 16,822.08 and 7,323.48 is: 10,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230.92 : 16,822.08 = 7,323.48 : x
  2. Step 2: Convert to fraction form
    11,230.92/16,822.08 = 7,323.48/x
  3. Step 3: Cross multiply
    11,230.92x = 16,822.08 × 7,323.48
  4. Step 4: Simplify right side
    11,230.92x = 123,196,166.44
  5. Step 5: Solve for x
    x = 123,196,166.44/11,230.92
  6. Step 6: Final answer
    x = 10,969.37

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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.