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Finding the Fourth Proportional to 12,197.34, 16,826.16 and 8,164.34

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Solution

The fourth proportional to 12,197.34, 16,826.16 and 8,164.34 is: 11,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.34 : 16,826.16 = 8,164.34 : x
  2. Step 2: Convert to fraction form
    12,197.34/16,826.16 = 8,164.34/x
  3. Step 3: Cross multiply
    12,197.34x = 16,826.16 × 8,164.34
  4. Step 4: Simplify right side
    12,197.34x = 137,374,407.00
  5. Step 5: Solve for x
    x = 137,374,407.00/12,197.34
  6. Step 6: Final answer
    x = 11,262.65

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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.