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Finding the Fourth Proportional to 10,984, 15,157.92 and 6,568

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Solution

The fourth proportional to 10,984, 15,157.92 and 6,568 is: 9,063.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984 : 15,157.92 = 6,568 : x
  2. Step 2: Convert to fraction form
    10,984/15,157.92 = 6,568/x
  3. Step 3: Cross multiply
    10,984x = 15,157.92 × 6,568
  4. Step 4: Simplify right side
    10,984x = 99,557,218.56
  5. Step 5: Solve for x
    x = 99,557,218.56/10,984
  6. Step 6: Final answer
    x = 9,063.84

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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.