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Finding the Fourth Proportional to 6,567.82, 9,063.56 and 3,583.78

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Solution

The fourth proportional to 6,567.82, 9,063.56 and 3,583.78 is: 4,945.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.82 : 9,063.56 = 3,583.78 : x
  2. Step 2: Convert to fraction form
    6,567.82/9,063.56 = 3,583.78/x
  3. Step 3: Cross multiply
    6,567.82x = 9,063.56 × 3,583.78
  4. Step 4: Simplify right side
    6,567.82x = 32,481,791.36
  5. Step 5: Solve for x
    x = 32,481,791.36/6,567.82
  6. Step 6: Final answer
    x = 4,945.60

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1.5x scale

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.