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Finding the Fourth Proportional to 9,604.26, 13,253.86 and 5,188.26

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Solution

The fourth proportional to 9,604.26, 13,253.86 and 5,188.26 is: 7,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.26 : 13,253.86 = 5,188.26 : x
  2. Step 2: Convert to fraction form
    9,604.26/13,253.86 = 5,188.26/x
  3. Step 3: Cross multiply
    9,604.26x = 13,253.86 × 5,188.26
  4. Step 4: Simplify right side
    9,604.26x = 68,764,471.68
  5. Step 5: Solve for x
    x = 68,764,471.68/9,604.26
  6. Step 6: Final answer
    x = 7,159.79

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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.