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Finding the Fourth Proportional to 9,150, 12,627.14 and 4,958.25

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Solution

The fourth proportional to 9,150, 12,627.14 and 4,958.25 is: 6,842.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150 : 12,627.14 = 4,958.25 : x
  2. Step 2: Convert to fraction form
    9,150/12,627.14 = 4,958.25/x
  3. Step 3: Cross multiply
    9,150x = 12,627.14 × 4,958.25
  4. Step 4: Simplify right side
    9,150x = 62,608,516.91
  5. Step 5: Solve for x
    x = 62,608,516.91/9,150
  6. Step 6: Final answer
    x = 6,842.46

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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.