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Finding the Fourth Proportional to 8,450.77, 12,674.82 and 2,828.39

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Solution

The fourth proportional to 8,450.77, 12,674.82 and 2,828.39 is: 4,242.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,450.77 : 12,674.82 = 2,828.39 : x
  2. Step 2: Convert to fraction form
    8,450.77/12,674.82 = 2,828.39/x
  3. Step 3: Cross multiply
    8,450.77x = 12,674.82 × 2,828.39
  4. Step 4: Simplify right side
    8,450.77x = 35,849,334.14
  5. Step 5: Solve for x
    x = 35,849,334.14/8,450.77
  6. Step 6: Final answer
    x = 4,242.14

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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.