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Finding the Fourth Proportional to 19,094.70, 28,629.36 and 9,738.12

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Solution

The fourth proportional to 19,094.70, 28,629.36 and 9,738.12 is: 14,600.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,094.70 : 28,629.36 = 9,738.12 : x
  2. Step 2: Convert to fraction form
    19,094.70/28,629.36 = 9,738.12/x
  3. Step 3: Cross multiply
    19,094.70x = 28,629.36 × 9,738.12
  4. Step 4: Simplify right side
    19,094.70x = 278,796,143.20
  5. Step 5: Solve for x
    x = 278,796,143.20/19,094.70
  6. Step 6: Final answer
    x = 14,600.71

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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.