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Finding the Fourth Proportional to 19,704.75, 29,557.13 and 5,853.75

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Solution

The fourth proportional to 19,704.75, 29,557.13 and 5,853.75 is: 8,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704.75 : 29,557.13 = 5,853.75 : x
  2. Step 2: Convert to fraction form
    19,704.75/29,557.13 = 5,853.75/x
  3. Step 3: Cross multiply
    19,704.75x = 29,557.13 × 5,853.75
  4. Step 4: Simplify right side
    19,704.75x = 173,020,020.47
  5. Step 5: Solve for x
    x = 173,020,020.47/19,704.75
  6. Step 6: Final answer
    x = 8,780.63

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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.