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Finding the Fourth Proportional to 9,984.03, 13,782.39 and 6,448.96

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Solution

The fourth proportional to 9,984.03, 13,782.39 and 6,448.96 is: 8,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.03 : 13,782.39 = 6,448.96 : x
  2. Step 2: Convert to fraction form
    9,984.03/13,782.39 = 6,448.96/x
  3. Step 3: Cross multiply
    9,984.03x = 13,782.39 × 6,448.96
  4. Step 4: Simplify right side
    9,984.03x = 88,882,049.57
  5. Step 5: Solve for x
    x = 88,882,049.57/9,984.03
  6. Step 6: Final answer
    x = 8,902.43

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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.