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Finding the Fourth Proportional to 11,713.77, 16,164.94 and 6,678.20

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Solution

The fourth proportional to 11,713.77, 16,164.94 and 6,678.20 is: 9,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.77 : 16,164.94 = 6,678.20 : x
  2. Step 2: Convert to fraction form
    11,713.77/16,164.94 = 6,678.20/x
  3. Step 3: Cross multiply
    11,713.77x = 16,164.94 × 6,678.20
  4. Step 4: Simplify right side
    11,713.77x = 107,952,702.31
  5. Step 5: Solve for x
    x = 107,952,702.31/11,713.77
  6. Step 6: Final answer
    x = 9,215.88

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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.