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Finding the Fourth Proportional to 6,833.66, 9,431.03 and 3,850.07

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Solution

The fourth proportional to 6,833.66, 9,431.03 and 3,850.07 is: 5,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.66 : 9,431.03 = 3,850.07 : x
  2. Step 2: Convert to fraction form
    6,833.66/9,431.03 = 3,850.07/x
  3. Step 3: Cross multiply
    6,833.66x = 9,431.03 × 3,850.07
  4. Step 4: Simplify right side
    6,833.66x = 36,310,088.14
  5. Step 5: Solve for x
    x = 36,310,088.14/6,833.66
  6. Step 6: Final answer
    x = 5,313.42

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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.