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Finding the Fourth Proportional to 6,955.26, 10,432.89 and 4,213.50

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Solution

The fourth proportional to 6,955.26, 10,432.89 and 4,213.50 is: 6,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.26 : 10,432.89 = 4,213.50 : x
  2. Step 2: Convert to fraction form
    6,955.26/10,432.89 = 4,213.50/x
  3. Step 3: Cross multiply
    6,955.26x = 10,432.89 × 4,213.50
  4. Step 4: Simplify right side
    6,955.26x = 43,958,982.02
  5. Step 5: Solve for x
    x = 43,958,982.02/6,955.26
  6. Step 6: Final answer
    x = 6,320.25

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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.