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Finding the Fourth Proportional to 4,896.70, 7,346.12 and 1,609.64

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Solution

The fourth proportional to 4,896.70, 7,346.12 and 1,609.64 is: 2,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.70 : 7,346.12 = 1,609.64 : x
  2. Step 2: Convert to fraction form
    4,896.70/7,346.12 = 1,609.64/x
  3. Step 3: Cross multiply
    4,896.70x = 7,346.12 × 1,609.64
  4. Step 4: Simplify right side
    4,896.70x = 11,824,608.60
  5. Step 5: Solve for x
    x = 11,824,608.60/4,896.70
  6. Step 6: Final answer
    x = 2,414.81

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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.