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Finding the Fourth Proportional to 6,350.44, 9,540.30 and 6,088

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Solution

The fourth proportional to 6,350.44, 9,540.30 and 6,088 is: 9,146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.44 : 9,540.30 = 6,088 : x
  2. Step 2: Convert to fraction form
    6,350.44/9,540.30 = 6,088/x
  3. Step 3: Cross multiply
    6,350.44x = 9,540.30 × 6,088
  4. Step 4: Simplify right side
    6,350.44x = 58,081,346.40
  5. Step 5: Solve for x
    x = 58,081,346.40/6,350.44
  6. Step 6: Final answer
    x = 9,146.03

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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.