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Finding the Fourth Proportional to 11,814.92, 17,717.46 and 6,476.92

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Solution

The fourth proportional to 11,814.92, 17,717.46 and 6,476.92 is: 9,712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.92 : 17,717.46 = 6,476.92 : x
  2. Step 2: Convert to fraction form
    11,814.92/17,717.46 = 6,476.92/x
  3. Step 3: Cross multiply
    11,814.92x = 17,717.46 × 6,476.92
  4. Step 4: Simplify right side
    11,814.92x = 114,754,571.02
  5. Step 5: Solve for x
    x = 114,754,571.02/11,814.92
  6. Step 6: Final answer
    x = 9,712.68

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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.