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Finding the Fourth Proportional to 13,768.31, 19,000.27 and 8,179.31

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Solution

The fourth proportional to 13,768.31, 19,000.27 and 8,179.31 is: 11,287.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.31 : 19,000.27 = 8,179.31 : x
  2. Step 2: Convert to fraction form
    13,768.31/19,000.27 = 8,179.31/x
  3. Step 3: Cross multiply
    13,768.31x = 19,000.27 × 8,179.31
  4. Step 4: Simplify right side
    13,768.31x = 155,409,156.14
  5. Step 5: Solve for x
    x = 155,409,156.14/13,768.31
  6. Step 6: Final answer
    x = 11,287.45

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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.