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Finding the Fourth Proportional to 9,633.80, 14,450.70 and 7,446.80

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Solution

The fourth proportional to 9,633.80, 14,450.70 and 7,446.80 is: 11,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.80 : 14,450.70 = 7,446.80 : x
  2. Step 2: Convert to fraction form
    9,633.80/14,450.70 = 7,446.80/x
  3. Step 3: Cross multiply
    9,633.80x = 14,450.70 × 7,446.80
  4. Step 4: Simplify right side
    9,633.80x = 107,611,472.76
  5. Step 5: Solve for x
    x = 107,611,472.76/9,633.80
  6. Step 6: Final answer
    x = 11,170.20

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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.