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Finding the Fourth Proportional to 6,838.20, 10,256.58 and 2,221.20

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Solution

The fourth proportional to 6,838.20, 10,256.58 and 2,221.20 is: 3,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.20 : 10,256.58 = 2,221.20 : x
  2. Step 2: Convert to fraction form
    6,838.20/10,256.58 = 2,221.20/x
  3. Step 3: Cross multiply
    6,838.20x = 10,256.58 × 2,221.20
  4. Step 4: Simplify right side
    6,838.20x = 22,781,915.50
  5. Step 5: Solve for x
    x = 22,781,915.50/6,838.20
  6. Step 6: Final answer
    x = 3,331.57

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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.