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Finding the Fourth Proportional to 12,193.07, 16,826.46 and 6,604.07

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Solution

The fourth proportional to 12,193.07, 16,826.46 and 6,604.07 is: 9,113.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.07 : 16,826.46 = 6,604.07 : x
  2. Step 2: Convert to fraction form
    12,193.07/16,826.46 = 6,604.07/x
  3. Step 3: Cross multiply
    12,193.07x = 16,826.46 × 6,604.07
  4. Step 4: Simplify right side
    12,193.07x = 111,123,010.79
  5. Step 5: Solve for x
    x = 111,123,010.79/12,193.07
  6. Step 6: Final answer
    x = 9,113.62

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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.