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Finding the Fourth Proportional to 6,305.82, 9,449.04 and 3,674.13

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Solution

The fourth proportional to 6,305.82, 9,449.04 and 3,674.13 is: 5,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.82 : 9,449.04 = 3,674.13 : x
  2. Step 2: Convert to fraction form
    6,305.82/9,449.04 = 3,674.13/x
  3. Step 3: Cross multiply
    6,305.82x = 9,449.04 × 3,674.13
  4. Step 4: Simplify right side
    6,305.82x = 34,717,001.34
  5. Step 5: Solve for x
    x = 34,717,001.34/6,305.82
  6. Step 6: Final answer
    x = 5,505.55

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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.