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Finding the Fourth Proportional to 12,491.14, 17,237.87 and 8,014.97

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Solution

The fourth proportional to 12,491.14, 17,237.87 and 8,014.97 is: 11,060.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.14 : 17,237.87 = 8,014.97 : x
  2. Step 2: Convert to fraction form
    12,491.14/17,237.87 = 8,014.97/x
  3. Step 3: Cross multiply
    12,491.14x = 17,237.87 × 8,014.97
  4. Step 4: Simplify right side
    12,491.14x = 138,160,970.84
  5. Step 5: Solve for x
    x = 138,160,970.84/12,491.14
  6. Step 6: Final answer
    x = 11,060.72

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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.