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Finding the Fourth Proportional to 11,733, 16,204.77 and 7,771.56

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Solution

The fourth proportional to 11,733, 16,204.77 and 7,771.56 is: 10,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,733 : 16,204.77 = 7,771.56 : x
  2. Step 2: Convert to fraction form
    11,733/16,204.77 = 7,771.56/x
  3. Step 3: Cross multiply
    11,733x = 16,204.77 × 7,771.56
  4. Step 4: Simplify right side
    11,733x = 125,936,342.34
  5. Step 5: Solve for x
    x = 125,936,342.34/11,733
  6. Step 6: Final answer
    x = 10,733.52

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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.