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Finding the Fourth Proportional to 12,799, 19,207.14 and 4,591

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Solution

The fourth proportional to 12,799, 19,207.14 and 4,591 is: 6,889.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,799 : 19,207.14 = 4,591 : x
  2. Step 2: Convert to fraction form
    12,799/19,207.14 = 4,591/x
  3. Step 3: Cross multiply
    12,799x = 19,207.14 × 4,591
  4. Step 4: Simplify right side
    12,799x = 88,179,979.74
  5. Step 5: Solve for x
    x = 88,179,979.74/12,799
  6. Step 6: Final answer
    x = 6,889.60

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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.