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Finding the Fourth Proportional to 6,644, 9,170.88 and 3,848.96

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Solution

The fourth proportional to 6,644, 9,170.88 and 3,848.96 is: 5,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644 : 9,170.88 = 3,848.96 : x
  2. Step 2: Convert to fraction form
    6,644/9,170.88 = 3,848.96/x
  3. Step 3: Cross multiply
    6,644x = 9,170.88 × 3,848.96
  4. Step 4: Simplify right side
    6,644x = 35,298,350.28
  5. Step 5: Solve for x
    x = 35,298,350.28/6,644
  6. Step 6: Final answer
    x = 5,312.82

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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.