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Finding the Fourth Proportional to 6,274.21, 9,448 and 4,642.27

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Solution

The fourth proportional to 6,274.21, 9,448 and 4,642.27 is: 6,990.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.21 : 9,448 = 4,642.27 : x
  2. Step 2: Convert to fraction form
    6,274.21/9,448 = 4,642.27/x
  3. Step 3: Cross multiply
    6,274.21x = 9,448 × 4,642.27
  4. Step 4: Simplify right side
    6,274.21x = 43,860,166.96
  5. Step 5: Solve for x
    x = 43,860,166.96/6,274.21
  6. Step 6: Final answer
    x = 6,990.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.