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Finding the Fourth Proportional to 12,227.34, 16,873.74 and 6,638.34

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Solution

The fourth proportional to 12,227.34, 16,873.74 and 6,638.34 is: 9,160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,227.34 : 16,873.74 = 6,638.34 : x
  2. Step 2: Convert to fraction form
    12,227.34/16,873.74 = 6,638.34/x
  3. Step 3: Cross multiply
    12,227.34x = 16,873.74 × 6,638.34
  4. Step 4: Simplify right side
    12,227.34x = 112,013,623.19
  5. Step 5: Solve for x
    x = 112,013,623.19/12,227.34
  6. Step 6: Final answer
    x = 9,160.92

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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.