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Finding the Fourth Proportional to 12,136.80, 18,221.40 and 9,674.40

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Solution

The fourth proportional to 12,136.80, 18,221.40 and 9,674.40 is: 14,524.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.80 : 18,221.40 = 9,674.40 : x
  2. Step 2: Convert to fraction form
    12,136.80/18,221.40 = 9,674.40/x
  3. Step 3: Cross multiply
    12,136.80x = 18,221.40 × 9,674.40
  4. Step 4: Simplify right side
    12,136.80x = 176,281,112.16
  5. Step 5: Solve for x
    x = 176,281,112.16/12,136.80
  6. Step 6: Final answer
    x = 14,524.51

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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.