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Finding the Fourth Proportional to 9,007, 13,512.66 and 2,851

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Solution

The fourth proportional to 9,007, 13,512.66 and 2,851 is: 4,277.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007 : 13,512.66 = 2,851 : x
  2. Step 2: Convert to fraction form
    9,007/13,512.66 = 2,851/x
  3. Step 3: Cross multiply
    9,007x = 13,512.66 × 2,851
  4. Step 4: Simplify right side
    9,007x = 38,524,593.66
  5. Step 5: Solve for x
    x = 38,524,593.66/9,007
  6. Step 6: Final answer
    x = 4,277.18

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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.