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Finding the Fourth Proportional to 12,741, 19,074.42 and 9,468.60

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Solution

The fourth proportional to 12,741, 19,074.42 and 9,468.60 is: 14,175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741 : 19,074.42 = 9,468.60 : x
  2. Step 2: Convert to fraction form
    12,741/19,074.42 = 9,468.60/x
  3. Step 3: Cross multiply
    12,741x = 19,074.42 × 9,468.60
  4. Step 4: Simplify right side
    12,741x = 180,608,053.21
  5. Step 5: Solve for x
    x = 180,608,053.21/12,741
  6. Step 6: Final answer
    x = 14,175.34

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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.