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Finding the Fourth Proportional to 9,791.73, 13,512.53 and 5,315.47

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Solution

The fourth proportional to 9,791.73, 13,512.53 and 5,315.47 is: 7,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.73 : 13,512.53 = 5,315.47 : x
  2. Step 2: Convert to fraction form
    9,791.73/13,512.53 = 5,315.47/x
  3. Step 3: Cross multiply
    9,791.73x = 13,512.53 × 5,315.47
  4. Step 4: Simplify right side
    9,791.73x = 71,825,427.35
  5. Step 5: Solve for x
    x = 71,825,427.35/9,791.73
  6. Step 6: Final answer
    x = 7,335.32

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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.