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Finding the Fourth Proportional to 6,644, 9,169.80 and 3,851.12

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Solution

The fourth proportional to 6,644, 9,169.80 and 3,851.12 is: 5,315.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644 : 9,169.80 = 3,851.12 : x
  2. Step 2: Convert to fraction form
    6,644/9,169.80 = 3,851.12/x
  3. Step 3: Cross multiply
    6,644x = 9,169.80 × 3,851.12
  4. Step 4: Simplify right side
    6,644x = 35,314,000.18
  5. Step 5: Solve for x
    x = 35,314,000.18/6,644
  6. Step 6: Final answer
    x = 5,315.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.