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Finding the Fourth Proportional to 6,965.43, 10,441.74 and 3,014.22

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Solution

The fourth proportional to 6,965.43, 10,441.74 and 3,014.22 is: 4,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.43 : 10,441.74 = 3,014.22 : x
  2. Step 2: Convert to fraction form
    6,965.43/10,441.74 = 3,014.22/x
  3. Step 3: Cross multiply
    6,965.43x = 10,441.74 × 3,014.22
  4. Step 4: Simplify right side
    6,965.43x = 31,473,701.54
  5. Step 5: Solve for x
    x = 31,473,701.54/6,965.43
  6. Step 6: Final answer
    x = 4,518.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.