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Finding the Fourth Proportional to 19,825.32, 29,737.98 and 5,974.32

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Solution

The fourth proportional to 19,825.32, 29,737.98 and 5,974.32 is: 8,961.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825.32 : 29,737.98 = 5,974.32 : x
  2. Step 2: Convert to fraction form
    19,825.32/29,737.98 = 5,974.32/x
  3. Step 3: Cross multiply
    19,825.32x = 29,737.98 × 5,974.32
  4. Step 4: Simplify right side
    19,825.32x = 177,664,208.67
  5. Step 5: Solve for x
    x = 177,664,208.67/19,825.32
  6. Step 6: Final answer
    x = 8,961.48

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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.