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Finding the Fourth Proportional to 12,714.73, 19,076.60 and 5,694.19

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Solution

The fourth proportional to 12,714.73, 19,076.60 and 5,694.19 is: 8,543.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.73 : 19,076.60 = 5,694.19 : x
  2. Step 2: Convert to fraction form
    12,714.73/19,076.60 = 5,694.19/x
  3. Step 3: Cross multiply
    12,714.73x = 19,076.60 × 5,694.19
  4. Step 4: Simplify right side
    12,714.73x = 108,625,784.95
  5. Step 5: Solve for x
    x = 108,625,784.95/12,714.73
  6. Step 6: Final answer
    x = 8,543.30

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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.