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Finding the Fourth Proportional to 6,643.86, 9,968.22 and 4,797.06

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Solution

The fourth proportional to 6,643.86, 9,968.22 and 4,797.06 is: 7,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.86 : 9,968.22 = 4,797.06 : x
  2. Step 2: Convert to fraction form
    6,643.86/9,968.22 = 4,797.06/x
  3. Step 3: Cross multiply
    6,643.86x = 9,968.22 × 4,797.06
  4. Step 4: Simplify right side
    6,643.86x = 47,818,149.43
  5. Step 5: Solve for x
    x = 47,818,149.43/6,643.86
  6. Step 6: Final answer
    x = 7,197.34

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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.