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Finding the Fourth Proportional to 9,007, 13,517.46 and 6,253

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Solution

The fourth proportional to 9,007, 13,517.46 and 6,253 is: 9,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007 : 13,517.46 = 6,253 : x
  2. Step 2: Convert to fraction form
    9,007/13,517.46 = 6,253/x
  3. Step 3: Cross multiply
    9,007x = 13,517.46 × 6,253
  4. Step 4: Simplify right side
    9,007x = 84,524,677.38
  5. Step 5: Solve for x
    x = 84,524,677.38/9,007
  6. Step 6: Final answer
    x = 9,384.33

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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.