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Finding the Fourth Proportional to 9,634.44, 14,476.02 and 9,245.64

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Solution

The fourth proportional to 9,634.44, 14,476.02 and 9,245.64 is: 13,891.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.44 : 14,476.02 = 9,245.64 : x
  2. Step 2: Convert to fraction form
    9,634.44/14,476.02 = 9,245.64/x
  3. Step 3: Cross multiply
    9,634.44x = 14,476.02 × 9,245.64
  4. Step 4: Simplify right side
    9,634.44x = 133,840,069.55
  5. Step 5: Solve for x
    x = 133,840,069.55/9,634.44
  6. Step 6: Final answer
    x = 13,891.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.