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Finding the Fourth Proportional to 9,954.40, 13,734.74 and 8,367.08

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Solution

The fourth proportional to 9,954.40, 13,734.74 and 8,367.08 is: 11,544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.40 : 13,734.74 = 8,367.08 : x
  2. Step 2: Convert to fraction form
    9,954.40/13,734.74 = 8,367.08/x
  3. Step 3: Cross multiply
    9,954.40x = 13,734.74 × 8,367.08
  4. Step 4: Simplify right side
    9,954.40x = 114,919,668.36
  5. Step 5: Solve for x
    x = 114,919,668.36/9,954.40
  6. Step 6: Final answer
    x = 11,544.61

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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.