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Finding the Fourth Proportional to 12,262.77, 16,922.97 and 8,684.10

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Solution

The fourth proportional to 12,262.77, 16,922.97 and 8,684.10 is: 11,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.77 : 16,922.97 = 8,684.10 : x
  2. Step 2: Convert to fraction form
    12,262.77/16,922.97 = 8,684.10/x
  3. Step 3: Cross multiply
    12,262.77x = 16,922.97 × 8,684.10
  4. Step 4: Simplify right side
    12,262.77x = 146,960,763.78
  5. Step 5: Solve for x
    x = 146,960,763.78/12,262.77
  6. Step 6: Final answer
    x = 11,984.30

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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.