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Finding the Fourth Proportional to 11,672.65, 16,107.61 and 6,636.17

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Solution

The fourth proportional to 11,672.65, 16,107.61 and 6,636.17 is: 9,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.65 : 16,107.61 = 6,636.17 : x
  2. Step 2: Convert to fraction form
    11,672.65/16,107.61 = 6,636.17/x
  3. Step 3: Cross multiply
    11,672.65x = 16,107.61 × 6,636.17
  4. Step 4: Simplify right side
    11,672.65x = 106,892,805.07
  5. Step 5: Solve for x
    x = 106,892,805.07/11,672.65
  6. Step 6: Final answer
    x = 9,157.54

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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.