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Finding the Fourth Proportional to 6,728.69, 9,284.76 and 3,744.32

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Solution

The fourth proportional to 6,728.69, 9,284.76 and 3,744.32 is: 5,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.69 : 9,284.76 = 3,744.32 : x
  2. Step 2: Convert to fraction form
    6,728.69/9,284.76 = 3,744.32/x
  3. Step 3: Cross multiply
    6,728.69x = 9,284.76 × 3,744.32
  4. Step 4: Simplify right side
    6,728.69x = 34,765,066.14
  5. Step 5: Solve for x
    x = 34,765,066.14/6,728.69
  6. Step 6: Final answer
    x = 5,166.69

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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.