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Finding the Fourth Proportional to 3,433.96, 5,151.11 and 968.98

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Solution

The fourth proportional to 3,433.96, 5,151.11 and 968.98 is: 1,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.96 : 5,151.11 = 968.98 : x
  2. Step 2: Convert to fraction form
    3,433.96/5,151.11 = 968.98/x
  3. Step 3: Cross multiply
    3,433.96x = 5,151.11 × 968.98
  4. Step 4: Simplify right side
    3,433.96x = 4,991,322.57
  5. Step 5: Solve for x
    x = 4,991,322.57/3,433.96
  6. Step 6: Final answer
    x = 1,453.52

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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.