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Finding the Fourth Proportional to 6,114, 9,170.94 and 1,730.88

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Solution

The fourth proportional to 6,114, 9,170.94 and 1,730.88 is: 2,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114 : 9,170.94 = 1,730.88 : x
  2. Step 2: Convert to fraction form
    6,114/9,170.94 = 1,730.88/x
  3. Step 3: Cross multiply
    6,114x = 9,170.94 × 1,730.88
  4. Step 4: Simplify right side
    6,114x = 15,873,796.63
  5. Step 5: Solve for x
    x = 15,873,796.63/6,114
  6. Step 6: Final answer
    x = 2,596.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.