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Finding the Fourth Proportional to 12,069.96, 16,651.68 and 7,356.96

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Solution

The fourth proportional to 12,069.96, 16,651.68 and 7,356.96 is: 10,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,069.96 : 16,651.68 = 7,356.96 : x
  2. Step 2: Convert to fraction form
    12,069.96/16,651.68 = 7,356.96/x
  3. Step 3: Cross multiply
    12,069.96x = 16,651.68 × 7,356.96
  4. Step 4: Simplify right side
    12,069.96x = 122,505,743.69
  5. Step 5: Solve for x
    x = 122,505,743.69/12,069.96
  6. Step 6: Final answer
    x = 10,149.64

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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.