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Finding the Fourth Proportional to 20,572.84, 30,855.10 and 5,782.44

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Solution

The fourth proportional to 20,572.84, 30,855.10 and 5,782.44 is: 8,672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,572.84 : 30,855.10 = 5,782.44 : x
  2. Step 2: Convert to fraction form
    20,572.84/30,855.10 = 5,782.44/x
  3. Step 3: Cross multiply
    20,572.84x = 30,855.10 × 5,782.44
  4. Step 4: Simplify right side
    20,572.84x = 178,417,764.44
  5. Step 5: Solve for x
    x = 178,417,764.44/20,572.84
  6. Step 6: Final answer
    x = 8,672.49

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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.