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Finding the Fourth Proportional to 11,734.69, 16,193.87 and 7,020.08

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Solution

The fourth proportional to 11,734.69, 16,193.87 and 7,020.08 is: 9,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.69 : 16,193.87 = 7,020.08 : x
  2. Step 2: Convert to fraction form
    11,734.69/16,193.87 = 7,020.08/x
  3. Step 3: Cross multiply
    11,734.69x = 16,193.87 × 7,020.08
  4. Step 4: Simplify right side
    11,734.69x = 113,682,320.94
  5. Step 5: Solve for x
    x = 113,682,320.94/11,734.69
  6. Step 6: Final answer
    x = 9,687.72

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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.