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Finding the Fourth Proportional to 6,994.27, 9,652.13 and 3,850.46

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Solution

The fourth proportional to 6,994.27, 9,652.13 and 3,850.46 is: 5,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.27 : 9,652.13 = 3,850.46 : x
  2. Step 2: Convert to fraction form
    6,994.27/9,652.13 = 3,850.46/x
  3. Step 3: Cross multiply
    6,994.27x = 9,652.13 × 3,850.46
  4. Step 4: Simplify right side
    6,994.27x = 37,165,150.11
  5. Step 5: Solve for x
    x = 37,165,150.11/6,994.27
  6. Step 6: Final answer
    x = 5,313.65

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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.