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Finding the Fourth Proportional to 11,902.75, 16,425.05 and 6,597.56

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Solution

The fourth proportional to 11,902.75, 16,425.05 and 6,597.56 is: 9,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.75 : 16,425.05 = 6,597.56 : x
  2. Step 2: Convert to fraction form
    11,902.75/16,425.05 = 6,597.56/x
  3. Step 3: Cross multiply
    11,902.75x = 16,425.05 × 6,597.56
  4. Step 4: Simplify right side
    11,902.75x = 108,365,339.72
  5. Step 5: Solve for x
    x = 108,365,339.72/11,902.75
  6. Step 6: Final answer
    x = 9,104.23

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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.