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Finding the Fourth Proportional to 13,999, 19,321.46 and 8,034.78

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Solution

The fourth proportional to 13,999, 19,321.46 and 8,034.78 is: 11,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999 : 19,321.46 = 8,034.78 : x
  2. Step 2: Convert to fraction form
    13,999/19,321.46 = 8,034.78/x
  3. Step 3: Cross multiply
    13,999x = 19,321.46 × 8,034.78
  4. Step 4: Simplify right side
    13,999x = 155,243,680.38
  5. Step 5: Solve for x
    x = 155,243,680.38/13,999
  6. Step 6: Final answer
    x = 11,089.63

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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.