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Finding the Fourth Proportional to 6,800.32, 10,196.32 and 6,220.21

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Solution

The fourth proportional to 6,800.32, 10,196.32 and 6,220.21 is: 9,326.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.32 : 10,196.32 = 6,220.21 : x
  2. Step 2: Convert to fraction form
    6,800.32/10,196.32 = 6,220.21/x
  3. Step 3: Cross multiply
    6,800.32x = 10,196.32 × 6,220.21
  4. Step 4: Simplify right side
    6,800.32x = 63,423,251.63
  5. Step 5: Solve for x
    x = 63,423,251.63/6,800.32
  6. Step 6: Final answer
    x = 9,326.51

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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.