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Finding the Fourth Proportional to 13,714.68, 18,927.17 and 8,678.51

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Solution

The fourth proportional to 13,714.68, 18,927.17 and 8,678.51 is: 11,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.68 : 18,927.17 = 8,678.51 : x
  2. Step 2: Convert to fraction form
    13,714.68/18,927.17 = 8,678.51/x
  3. Step 3: Cross multiply
    13,714.68x = 18,927.17 × 8,678.51
  4. Step 4: Simplify right side
    13,714.68x = 164,259,496.09
  5. Step 5: Solve for x
    x = 164,259,496.09/13,714.68
  6. Step 6: Final answer
    x = 11,976.91

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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.