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Finding the Fourth Proportional to 12,192.16, 16,826.16 and 9,694.88

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Solution

The fourth proportional to 12,192.16, 16,826.16 and 9,694.88 is: 13,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.16 : 16,826.16 = 9,694.88 : x
  2. Step 2: Convert to fraction form
    12,192.16/16,826.16 = 9,694.88/x
  3. Step 3: Cross multiply
    12,192.16x = 16,826.16 × 9,694.88
  4. Step 4: Simplify right side
    12,192.16x = 163,127,602.06
  5. Step 5: Solve for x
    x = 163,127,602.06/12,192.16
  6. Step 6: Final answer
    x = 13,379.71

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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.