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Finding the Fourth Proportional to 9,745.39, 13,449.79 and 5,766.50

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Solution

The fourth proportional to 9,745.39, 13,449.79 and 5,766.50 is: 7,958.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.39 : 13,449.79 = 5,766.50 : x
  2. Step 2: Convert to fraction form
    9,745.39/13,449.79 = 5,766.50/x
  3. Step 3: Cross multiply
    9,745.39x = 13,449.79 × 5,766.50
  4. Step 4: Simplify right side
    9,745.39x = 77,558,287.97
  5. Step 5: Solve for x
    x = 77,558,287.97/9,745.39
  6. Step 6: Final answer
    x = 7,958.46

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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.