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Finding the Fourth Proportional to 3,158.16, 4,736.52 and 966.30

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Solution

The fourth proportional to 3,158.16, 4,736.52 and 966.30 is: 1,449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.16 : 4,736.52 = 966.30 : x
  2. Step 2: Convert to fraction form
    3,158.16/4,736.52 = 966.30/x
  3. Step 3: Cross multiply
    3,158.16x = 4,736.52 × 966.30
  4. Step 4: Simplify right side
    3,158.16x = 4,576,899.28
  5. Step 5: Solve for x
    x = 4,576,899.28/3,158.16
  6. Step 6: Final answer
    x = 1,449.23

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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.