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Finding the Fourth Proportional to 6,968.91, 9,617.04 and 3,825.12

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Solution

The fourth proportional to 6,968.91, 9,617.04 and 3,825.12 is: 5,278.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.91 : 9,617.04 = 3,825.12 : x
  2. Step 2: Convert to fraction form
    6,968.91/9,617.04 = 3,825.12/x
  3. Step 3: Cross multiply
    6,968.91x = 9,617.04 × 3,825.12
  4. Step 4: Simplify right side
    6,968.91x = 36,786,332.04
  5. Step 5: Solve for x
    x = 36,786,332.04/6,968.91
  6. Step 6: Final answer
    x = 5,278.63

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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.