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Finding the Fourth Proportional to 12,491.63, 17,238.44 and 6,826.42

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Solution

The fourth proportional to 12,491.63, 17,238.44 and 6,826.42 is: 9,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.63 : 17,238.44 = 6,826.42 : x
  2. Step 2: Convert to fraction form
    12,491.63/17,238.44 = 6,826.42/x
  3. Step 3: Cross multiply
    12,491.63x = 17,238.44 × 6,826.42
  4. Step 4: Simplify right side
    12,491.63x = 117,676,711.26
  5. Step 5: Solve for x
    x = 117,676,711.26/12,491.63
  6. Step 6: Final answer
    x = 9,420.44

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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.