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Finding the Fourth Proportional to 7,697.23, 11,556.78 and 7,344.88

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Solution

The fourth proportional to 7,697.23, 11,556.78 and 7,344.88 is: 11,027.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.23 : 11,556.78 = 7,344.88 : x
  2. Step 2: Convert to fraction form
    7,697.23/11,556.78 = 7,344.88/x
  3. Step 3: Cross multiply
    7,697.23x = 11,556.78 × 7,344.88
  4. Step 4: Simplify right side
    7,697.23x = 84,883,162.29
  5. Step 5: Solve for x
    x = 84,883,162.29/7,697.23
  6. Step 6: Final answer
    x = 11,027.75

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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.