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Finding the Fourth Proportional to 12,211.32, 16,849.98 and 7,174.92

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Solution

The fourth proportional to 12,211.32, 16,849.98 and 7,174.92 is: 9,900.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,211.32 : 16,849.98 = 7,174.92 : x
  2. Step 2: Convert to fraction form
    12,211.32/16,849.98 = 7,174.92/x
  3. Step 3: Cross multiply
    12,211.32x = 16,849.98 × 7,174.92
  4. Step 4: Simplify right side
    12,211.32x = 120,897,258.50
  5. Step 5: Solve for x
    x = 120,897,258.50/12,211.32
  6. Step 6: Final answer
    x = 9,900.43

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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.