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Finding the Fourth Proportional to 6,213, 8,573.97 and 3,380.40

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Solution

The fourth proportional to 6,213, 8,573.97 and 3,380.40 is: 4,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213 : 8,573.97 = 3,380.40 : x
  2. Step 2: Convert to fraction form
    6,213/8,573.97 = 3,380.40/x
  3. Step 3: Cross multiply
    6,213x = 8,573.97 × 3,380.40
  4. Step 4: Simplify right side
    6,213x = 28,983,448.19
  5. Step 5: Solve for x
    x = 28,983,448.19/6,213
  6. Step 6: Final answer
    x = 4,664.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.