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Finding the Fourth Proportional to 9,567.61, 13,203.62 and 5,791.46

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Solution

The fourth proportional to 9,567.61, 13,203.62 and 5,791.46 is: 7,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.61 : 13,203.62 = 5,791.46 : x
  2. Step 2: Convert to fraction form
    9,567.61/13,203.62 = 5,791.46/x
  3. Step 3: Cross multiply
    9,567.61x = 13,203.62 × 5,791.46
  4. Step 4: Simplify right side
    9,567.61x = 76,468,251.56
  5. Step 5: Solve for x
    x = 76,468,251.56/9,567.61
  6. Step 6: Final answer
    x = 7,992.41

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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.