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Finding the Fourth Proportional to 12,538, 17,302.53 and 6,949

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Solution

The fourth proportional to 12,538, 17,302.53 and 6,949 is: 9,589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538 : 17,302.53 = 6,949 : x
  2. Step 2: Convert to fraction form
    12,538/17,302.53 = 6,949/x
  3. Step 3: Cross multiply
    12,538x = 17,302.53 × 6,949
  4. Step 4: Simplify right side
    12,538x = 120,235,280.97
  5. Step 5: Solve for x
    x = 120,235,280.97/12,538
  6. Step 6: Final answer
    x = 9,589.67

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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.