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Finding the Fourth Proportional to 6,444.76, 9,668.36 and 3,674.56

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Solution

The fourth proportional to 6,444.76, 9,668.36 and 3,674.56 is: 5,512.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.76 : 9,668.36 = 3,674.56 : x
  2. Step 2: Convert to fraction form
    6,444.76/9,668.36 = 3,674.56/x
  3. Step 3: Cross multiply
    6,444.76x = 9,668.36 × 3,674.56
  4. Step 4: Simplify right side
    6,444.76x = 35,526,968.92
  5. Step 5: Solve for x
    x = 35,526,968.92/6,444.76
  6. Step 6: Final answer
    x = 5,512.54

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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.