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Finding the Fourth Proportional to 6,500, 9,756.48 and 3,422

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Solution

The fourth proportional to 6,500, 9,756.48 and 3,422 is: 5,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500 : 9,756.48 = 3,422 : x
  2. Step 2: Convert to fraction form
    6,500/9,756.48 = 3,422/x
  3. Step 3: Cross multiply
    6,500x = 9,756.48 × 3,422
  4. Step 4: Simplify right side
    6,500x = 33,386,674.56
  5. Step 5: Solve for x
    x = 33,386,674.56/6,500
  6. Step 6: Final answer
    x = 5,136.41

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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.