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Finding the Fourth Proportional to 12,741.60, 19,074.60 and 9,469.20

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Solution

The fourth proportional to 12,741.60, 19,074.60 and 9,469.20 is: 14,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741.60 : 19,074.60 = 9,469.20 : x
  2. Step 2: Convert to fraction form
    12,741.60/19,074.60 = 9,469.20/x
  3. Step 3: Cross multiply
    12,741.60x = 19,074.60 × 9,469.20
  4. Step 4: Simplify right side
    12,741.60x = 180,621,202.32
  5. Step 5: Solve for x
    x = 180,621,202.32/12,741.60
  6. Step 6: Final answer
    x = 14,175.71

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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.