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Finding the Fourth Proportional to 9,299.26, 14,012.82 and 7,691.82

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Solution

The fourth proportional to 9,299.26, 14,012.82 and 7,691.82 is: 11,590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.26 : 14,012.82 = 7,691.82 : x
  2. Step 2: Convert to fraction form
    9,299.26/14,012.82 = 7,691.82/x
  3. Step 3: Cross multiply
    9,299.26x = 14,012.82 × 7,691.82
  4. Step 4: Simplify right side
    9,299.26x = 107,784,097.63
  5. Step 5: Solve for x
    x = 107,784,097.63/9,299.26
  6. Step 6: Final answer
    x = 11,590.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.