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Finding the Fourth Proportional to 12,722.64, 19,063.44 and 6,882

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Solution

The fourth proportional to 12,722.64, 19,063.44 and 6,882 is: 10,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.64 : 19,063.44 = 6,882 : x
  2. Step 2: Convert to fraction form
    12,722.64/19,063.44 = 6,882/x
  3. Step 3: Cross multiply
    12,722.64x = 19,063.44 × 6,882
  4. Step 4: Simplify right side
    12,722.64x = 131,194,594.08
  5. Step 5: Solve for x
    x = 131,194,594.08/12,722.64
  6. Step 6: Final answer
    x = 10,311.90

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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.