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Finding the Fourth Proportional to 11,608.82, 16,021.16 and 6,573.92

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Solution

The fourth proportional to 11,608.82, 16,021.16 and 6,573.92 is: 9,072.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.82 : 16,021.16 = 6,573.92 : x
  2. Step 2: Convert to fraction form
    11,608.82/16,021.16 = 6,573.92/x
  3. Step 3: Cross multiply
    11,608.82x = 16,021.16 × 6,573.92
  4. Step 4: Simplify right side
    11,608.82x = 105,321,880.63
  5. Step 5: Solve for x
    x = 105,321,880.63/11,608.82
  6. Step 6: Final answer
    x = 9,072.58

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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.