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Finding the Fourth Proportional to 9,723.93, 13,425.48 and 7,481.85

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Solution

The fourth proportional to 9,723.93, 13,425.48 and 7,481.85 is: 10,329.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.93 : 13,425.48 = 7,481.85 : x
  2. Step 2: Convert to fraction form
    9,723.93/13,425.48 = 7,481.85/x
  3. Step 3: Cross multiply
    9,723.93x = 13,425.48 × 7,481.85
  4. Step 4: Simplify right side
    9,723.93x = 100,447,427.54
  5. Step 5: Solve for x
    x = 100,447,427.54/9,723.93
  6. Step 6: Final answer
    x = 10,329.92

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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.