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Finding the Fourth Proportional to 11,952.92, 16,471.74 and 8,972.12

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Solution

The fourth proportional to 11,952.92, 16,471.74 and 8,972.12 is: 12,364.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.92 : 16,471.74 = 8,972.12 : x
  2. Step 2: Convert to fraction form
    11,952.92/16,471.74 = 8,972.12/x
  3. Step 3: Cross multiply
    11,952.92x = 16,471.74 × 8,972.12
  4. Step 4: Simplify right side
    11,952.92x = 147,786,427.89
  5. Step 5: Solve for x
    x = 147,786,427.89/11,952.92
  6. Step 6: Final answer
    x = 12,364.04

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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.