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Finding the Fourth Proportional to 3,310.24, 4,964.12 and 969.76

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Solution

The fourth proportional to 3,310.24, 4,964.12 and 969.76 is: 1,454.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.24 : 4,964.12 = 969.76 : x
  2. Step 2: Convert to fraction form
    3,310.24/4,964.12 = 969.76/x
  3. Step 3: Cross multiply
    3,310.24x = 4,964.12 × 969.76
  4. Step 4: Simplify right side
    3,310.24x = 4,814,005.01
  5. Step 5: Solve for x
    x = 4,814,005.01/3,310.24
  6. Step 6: Final answer
    x = 1,454.28

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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.