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Finding the Fourth Proportional to 19,425, 29,148.06 and 7,738.20

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Solution

The fourth proportional to 19,425, 29,148.06 and 7,738.20 is: 11,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,425 : 29,148.06 = 7,738.20 : x
  2. Step 2: Convert to fraction form
    19,425/29,148.06 = 7,738.20/x
  3. Step 3: Cross multiply
    19,425x = 29,148.06 × 7,738.20
  4. Step 4: Simplify right side
    19,425x = 225,553,517.89
  5. Step 5: Solve for x
    x = 225,553,517.89/19,425
  6. Step 6: Final answer
    x = 11,611.51

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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.