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Finding the Fourth Proportional to 11,797.92, 16,272.06 and 7,324.32

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Solution

The fourth proportional to 11,797.92, 16,272.06 and 7,324.32 is: 10,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.92 : 16,272.06 = 7,324.32 : x
  2. Step 2: Convert to fraction form
    11,797.92/16,272.06 = 7,324.32/x
  3. Step 3: Cross multiply
    11,797.92x = 16,272.06 × 7,324.32
  4. Step 4: Simplify right side
    11,797.92x = 119,181,774.50
  5. Step 5: Solve for x
    x = 119,181,774.50/11,797.92
  6. Step 6: Final answer
    x = 10,101.93

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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.