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Finding the Fourth Proportional to 6,396, 9,598.35 and 2,292

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Solution

The fourth proportional to 6,396, 9,598.35 and 2,292 is: 3,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396 : 9,598.35 = 2,292 : x
  2. Step 2: Convert to fraction form
    6,396/9,598.35 = 2,292/x
  3. Step 3: Cross multiply
    6,396x = 9,598.35 × 2,292
  4. Step 4: Simplify right side
    6,396x = 21,999,418.20
  5. Step 5: Solve for x
    x = 21,999,418.20/6,396
  6. Step 6: Final answer
    x = 3,439.56

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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.