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Finding the Fourth Proportional to 11,686.91, 16,128.59 and 6,382.22

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Solution

The fourth proportional to 11,686.91, 16,128.59 and 6,382.22 is: 8,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.91 : 16,128.59 = 6,382.22 : x
  2. Step 2: Convert to fraction form
    11,686.91/16,128.59 = 6,382.22/x
  3. Step 3: Cross multiply
    11,686.91x = 16,128.59 × 6,382.22
  4. Step 4: Simplify right side
    11,686.91x = 102,936,097.12
  5. Step 5: Solve for x
    x = 102,936,097.12/11,686.91
  6. Step 6: Final answer
    x = 8,807.81

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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.