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Finding the Fourth Proportional to 12,967.92, 19,453.05 and 10,049.49

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Solution

The fourth proportional to 12,967.92, 19,453.05 and 10,049.49 is: 15,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.92 : 19,453.05 = 10,049.49 : x
  2. Step 2: Convert to fraction form
    12,967.92/19,453.05 = 10,049.49/x
  3. Step 3: Cross multiply
    12,967.92x = 19,453.05 × 10,049.49
  4. Step 4: Simplify right side
    12,967.92x = 195,493,231.44
  5. Step 5: Solve for x
    x = 195,493,231.44/12,967.92
  6. Step 6: Final answer
    x = 15,075.14

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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.