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Finding the Fourth Proportional to 9,633.44, 14,474.48 and 9,244.64

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Solution

The fourth proportional to 9,633.44, 14,474.48 and 9,244.64 is: 13,890.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.44 : 14,474.48 = 9,244.64 : x
  2. Step 2: Convert to fraction form
    9,633.44/14,474.48 = 9,244.64/x
  3. Step 3: Cross multiply
    9,633.44x = 14,474.48 × 9,244.64
  4. Step 4: Simplify right side
    9,633.44x = 133,811,356.79
  5. Step 5: Solve for x
    x = 133,811,356.79/9,633.44
  6. Step 6: Final answer
    x = 13,890.30

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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.