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Finding the Fourth Proportional to 11,365.92, 15,684.48 and 8,216.64

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Solution

The fourth proportional to 11,365.92, 15,684.48 and 8,216.64 is: 11,338.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365.92 : 15,684.48 = 8,216.64 : x
  2. Step 2: Convert to fraction form
    11,365.92/15,684.48 = 8,216.64/x
  3. Step 3: Cross multiply
    11,365.92x = 15,684.48 × 8,216.64
  4. Step 4: Simplify right side
    11,365.92x = 128,873,725.75
  5. Step 5: Solve for x
    x = 128,873,725.75/11,365.92
  6. Step 6: Final answer
    x = 11,338.61

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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.