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Finding the Fourth Proportional to 6,398.01, 9,599.76 and 2,015.82

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Solution

The fourth proportional to 6,398.01, 9,599.76 and 2,015.82 is: 3,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.01 : 9,599.76 = 2,015.82 : x
  2. Step 2: Convert to fraction form
    6,398.01/9,599.76 = 2,015.82/x
  3. Step 3: Cross multiply
    6,398.01x = 9,599.76 × 2,015.82
  4. Step 4: Simplify right side
    6,398.01x = 19,351,388.20
  5. Step 5: Solve for x
    x = 19,351,388.20/6,398.01
  6. Step 6: Final answer
    x = 3,024.59

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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.