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Finding the Fourth Proportional to 4,354.56, 6,006 and 3,027.60

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Solution

The fourth proportional to 4,354.56, 6,006 and 3,027.60 is: 4,175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.56 : 6,006 = 3,027.60 : x
  2. Step 2: Convert to fraction form
    4,354.56/6,006 = 3,027.60/x
  3. Step 3: Cross multiply
    4,354.56x = 6,006 × 3,027.60
  4. Step 4: Simplify right side
    4,354.56x = 18,183,765.60
  5. Step 5: Solve for x
    x = 18,183,765.60/4,354.56
  6. Step 6: Final answer
    x = 4,175.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.