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Finding the Fourth Proportional to 6,774.29, 9,344.75 and 3,941.34

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Solution

The fourth proportional to 6,774.29, 9,344.75 and 3,941.34 is: 5,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.29 : 9,344.75 = 3,941.34 : x
  2. Step 2: Convert to fraction form
    6,774.29/9,344.75 = 3,941.34/x
  3. Step 3: Cross multiply
    6,774.29x = 9,344.75 × 3,941.34
  4. Step 4: Simplify right side
    6,774.29x = 36,830,836.97
  5. Step 5: Solve for x
    x = 36,830,836.97/6,774.29
  6. Step 6: Final answer
    x = 5,436.86

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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.