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Finding the Fourth Proportional to 7,697.76, 11,536.24 and 3,992.24

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Solution

The fourth proportional to 7,697.76, 11,536.24 and 3,992.24 is: 5,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.76 : 11,536.24 = 3,992.24 : x
  2. Step 2: Convert to fraction form
    7,697.76/11,536.24 = 3,992.24/x
  3. Step 3: Cross multiply
    7,697.76x = 11,536.24 × 3,992.24
  4. Step 4: Simplify right side
    7,697.76x = 46,055,438.78
  5. Step 5: Solve for x
    x = 46,055,438.78/7,697.76
  6. Step 6: Final answer
    x = 5,982.97

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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.