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Finding the Fourth Proportional to 6,994.57, 9,652.50 and 3,850.96

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Solution

The fourth proportional to 6,994.57, 9,652.50 and 3,850.96 is: 5,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.57 : 9,652.50 = 3,850.96 : x
  2. Step 2: Convert to fraction form
    6,994.57/9,652.50 = 3,850.96/x
  3. Step 3: Cross multiply
    6,994.57x = 9,652.50 × 3,850.96
  4. Step 4: Simplify right side
    6,994.57x = 37,171,391.40
  5. Step 5: Solve for x
    x = 37,171,391.40/6,994.57
  6. Step 6: Final answer
    x = 5,314.32

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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.