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Finding the Fourth Proportional to 12,519, 17,276.49 and 6,853.95

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Solution

The fourth proportional to 12,519, 17,276.49 and 6,853.95 is: 9,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,519 : 17,276.49 = 6,853.95 : x
  2. Step 2: Convert to fraction form
    12,519/17,276.49 = 6,853.95/x
  3. Step 3: Cross multiply
    12,519x = 17,276.49 × 6,853.95
  4. Step 4: Simplify right side
    12,519x = 118,412,198.64
  5. Step 5: Solve for x
    x = 118,412,198.64/12,519
  6. Step 6: Final answer
    x = 9,458.60

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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.