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Finding the Fourth Proportional to 6,934.94, 9,570.21 and 3,791.13

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Solution

The fourth proportional to 6,934.94, 9,570.21 and 3,791.13 is: 5,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.94 : 9,570.21 = 3,791.13 : x
  2. Step 2: Convert to fraction form
    6,934.94/9,570.21 = 3,791.13/x
  3. Step 3: Cross multiply
    6,934.94x = 9,570.21 × 3,791.13
  4. Step 4: Simplify right side
    6,934.94x = 36,281,910.24
  5. Step 5: Solve for x
    x = 36,281,910.24/6,934.94
  6. Step 6: Final answer
    x = 5,231.76

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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.