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Finding the Fourth Proportional to 11,771.12, 17,659.76 and 6,836.52

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Solution

The fourth proportional to 11,771.12, 17,659.76 and 6,836.52 is: 10,256.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.12 : 17,659.76 = 6,836.52 : x
  2. Step 2: Convert to fraction form
    11,771.12/17,659.76 = 6,836.52/x
  3. Step 3: Cross multiply
    11,771.12x = 17,659.76 × 6,836.52
  4. Step 4: Simplify right side
    11,771.12x = 120,731,235.14
  5. Step 5: Solve for x
    x = 120,731,235.14/11,771.12
  6. Step 6: Final answer
    x = 10,256.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.