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Finding the Fourth Proportional to 6,744.75, 9,304.98 and 4,477.16

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Solution

The fourth proportional to 6,744.75, 9,304.98 and 4,477.16 is: 6,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.75 : 9,304.98 = 4,477.16 : x
  2. Step 2: Convert to fraction form
    6,744.75/9,304.98 = 4,477.16/x
  3. Step 3: Cross multiply
    6,744.75x = 9,304.98 × 4,477.16
  4. Step 4: Simplify right side
    6,744.75x = 41,659,837.73
  5. Step 5: Solve for x
    x = 41,659,837.73/6,744.75
  6. Step 6: Final answer
    x = 6,176.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.