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Finding the Fourth Proportional to 6,531.16, 9,797.16 and 2,635.48

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Solution

The fourth proportional to 6,531.16, 9,797.16 and 2,635.48 is: 3,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.16 : 9,797.16 = 2,635.48 : x
  2. Step 2: Convert to fraction form
    6,531.16/9,797.16 = 2,635.48/x
  3. Step 3: Cross multiply
    6,531.16x = 9,797.16 × 2,635.48
  4. Step 4: Simplify right side
    6,531.16x = 25,820,219.24
  5. Step 5: Solve for x
    x = 25,820,219.24/6,531.16
  6. Step 6: Final answer
    x = 3,953.39

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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.