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Finding the Fourth Proportional to 11,326.10, 16,969.97 and 6,934.38

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Solution

The fourth proportional to 11,326.10, 16,969.97 and 6,934.38 is: 10,389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,326.10 : 16,969.97 = 6,934.38 : x
  2. Step 2: Convert to fraction form
    11,326.10/16,969.97 = 6,934.38/x
  3. Step 3: Cross multiply
    11,326.10x = 16,969.97 × 6,934.38
  4. Step 4: Simplify right side
    11,326.10x = 117,676,185.90
  5. Step 5: Solve for x
    x = 117,676,185.90/11,326.10
  6. Step 6: Final answer
    x = 10,389.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.