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Finding the Fourth Proportional to 10,984, 15,157.92 and 6,016

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Solution

The fourth proportional to 10,984, 15,157.92 and 6,016 is: 8,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984 : 15,157.92 = 6,016 : x
  2. Step 2: Convert to fraction form
    10,984/15,157.92 = 6,016/x
  3. Step 3: Cross multiply
    10,984x = 15,157.92 × 6,016
  4. Step 4: Simplify right side
    10,984x = 91,190,046.72
  5. Step 5: Solve for x
    x = 91,190,046.72/10,984
  6. Step 6: Final answer
    x = 8,302.08

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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.