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Finding the Fourth Proportional to 6,383.52, 9,570.84 and 2,483.36

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Solution

The fourth proportional to 6,383.52, 9,570.84 and 2,483.36 is: 3,723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.52 : 9,570.84 = 2,483.36 : x
  2. Step 2: Convert to fraction form
    6,383.52/9,570.84 = 2,483.36/x
  3. Step 3: Cross multiply
    6,383.52x = 9,570.84 × 2,483.36
  4. Step 4: Simplify right side
    6,383.52x = 23,767,841.22
  5. Step 5: Solve for x
    x = 23,767,841.22/6,383.52
  6. Step 6: Final answer
    x = 3,723.31

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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.