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Finding the Fourth Proportional to 6,383.80, 9,577.50 and 2,001.88

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Solution

The fourth proportional to 6,383.80, 9,577.50 and 2,001.88 is: 3,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.80 : 9,577.50 = 2,001.88 : x
  2. Step 2: Convert to fraction form
    6,383.80/9,577.50 = 2,001.88/x
  3. Step 3: Cross multiply
    6,383.80x = 9,577.50 × 2,001.88
  4. Step 4: Simplify right side
    6,383.80x = 19,173,005.70
  5. Step 5: Solve for x
    x = 19,173,005.70/6,383.80
  6. Step 6: Final answer
    x = 3,003.38

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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.