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Finding the Fourth Proportional to 3,567.28, 5,350.32 and 969.64

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Solution

The fourth proportional to 3,567.28, 5,350.32 and 969.64 is: 1,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.28 : 5,350.32 = 969.64 : x
  2. Step 2: Convert to fraction form
    3,567.28/5,350.32 = 969.64/x
  3. Step 3: Cross multiply
    3,567.28x = 5,350.32 × 969.64
  4. Step 4: Simplify right side
    3,567.28x = 5,187,884.28
  5. Step 5: Solve for x
    x = 5,187,884.28/3,567.28
  6. Step 6: Final answer
    x = 1,454.30

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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.