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Finding the Fourth Proportional to 12,227.63, 16,874.37 and 7,447.77

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Solution

The fourth proportional to 12,227.63, 16,874.37 and 7,447.77 is: 10,278.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.63 : 16,874.37 = 7,447.77 : x
  2. Step 2: Convert to fraction form
    12,227.63/16,874.37 = 7,447.77/x
  3. Step 3: Cross multiply
    12,227.63x = 16,874.37 × 7,447.77
  4. Step 4: Simplify right side
    12,227.63x = 125,676,426.65
  5. Step 5: Solve for x
    x = 125,676,426.65/12,227.63
  6. Step 6: Final answer
    x = 10,278.07

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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.