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Finding the Fourth Proportional to 9,958, 13,742.04 and 5,542

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Solution

The fourth proportional to 9,958, 13,742.04 and 5,542 is: 7,647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958 : 13,742.04 = 5,542 : x
  2. Step 2: Convert to fraction form
    9,958/13,742.04 = 5,542/x
  3. Step 3: Cross multiply
    9,958x = 13,742.04 × 5,542
  4. Step 4: Simplify right side
    9,958x = 76,158,385.68
  5. Step 5: Solve for x
    x = 76,158,385.68/9,958
  6. Step 6: Final answer
    x = 7,647.96

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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.