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Finding the Fourth Proportional to 22,451, 33,677.86 and 6,868.76

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Solution

The fourth proportional to 22,451, 33,677.86 and 6,868.76 is: 10,303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,451 : 33,677.86 = 6,868.76 : x
  2. Step 2: Convert to fraction form
    22,451/33,677.86 = 6,868.76/x
  3. Step 3: Cross multiply
    22,451x = 33,677.86 × 6,868.76
  4. Step 4: Simplify right side
    22,451x = 231,325,137.65
  5. Step 5: Solve for x
    x = 231,325,137.65/22,451
  6. Step 6: Final answer
    x = 10,303.56

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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.