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Finding the Fourth Proportional to 6,444.34, 9,668.82 and 3,976.30

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Solution

The fourth proportional to 6,444.34, 9,668.82 and 3,976.30 is: 5,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.34 : 9,668.82 = 3,976.30 : x
  2. Step 2: Convert to fraction form
    6,444.34/9,668.82 = 3,976.30/x
  3. Step 3: Cross multiply
    6,444.34x = 9,668.82 × 3,976.30
  4. Step 4: Simplify right side
    6,444.34x = 38,446,128.97
  5. Step 5: Solve for x
    x = 38,446,128.97/6,444.34
  6. Step 6: Final answer
    x = 5,965.88

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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.