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Finding the Fourth Proportional to 6,806.69, 9,394.85 and 4,156.33

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Solution

The fourth proportional to 6,806.69, 9,394.85 and 4,156.33 is: 5,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.69 : 9,394.85 = 4,156.33 : x
  2. Step 2: Convert to fraction form
    6,806.69/9,394.85 = 4,156.33/x
  3. Step 3: Cross multiply
    6,806.69x = 9,394.85 × 4,156.33
  4. Step 4: Simplify right side
    6,806.69x = 39,048,096.90
  5. Step 5: Solve for x
    x = 39,048,096.90/6,806.69
  6. Step 6: Final answer
    x = 5,736.72

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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.