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Finding the Fourth Proportional to 6,418.42, 9,627.95 and 2,035.47

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Solution

The fourth proportional to 6,418.42, 9,627.95 and 2,035.47 is: 3,053.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.42 : 9,627.95 = 2,035.47 : x
  2. Step 2: Convert to fraction form
    6,418.42/9,627.95 = 2,035.47/x
  3. Step 3: Cross multiply
    6,418.42x = 9,627.95 × 2,035.47
  4. Step 4: Simplify right side
    6,418.42x = 19,597,393.21
  5. Step 5: Solve for x
    x = 19,597,393.21/6,418.42
  6. Step 6: Final answer
    x = 3,053.31

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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.