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Finding the Fourth Proportional to 11,034.98, 15,228 and 5,999.09

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Solution

The fourth proportional to 11,034.98, 15,228 and 5,999.09 is: 8,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,034.98 : 15,228 = 5,999.09 : x
  2. Step 2: Convert to fraction form
    11,034.98/15,228 = 5,999.09/x
  3. Step 3: Cross multiply
    11,034.98x = 15,228 × 5,999.09
  4. Step 4: Simplify right side
    11,034.98x = 91,354,109.21
  5. Step 5: Solve for x
    x = 91,354,109.21/11,034.98
  6. Step 6: Final answer
    x = 8,278.59

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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.