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Finding the Fourth Proportional to 10,013, 13,817.96 and 5,597

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Solution

The fourth proportional to 10,013, 13,817.96 and 5,597 is: 7,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013 : 13,817.96 = 5,597 : x
  2. Step 2: Convert to fraction form
    10,013/13,817.96 = 5,597/x
  3. Step 3: Cross multiply
    10,013x = 13,817.96 × 5,597
  4. Step 4: Simplify right side
    10,013x = 77,339,122.12
  5. Step 5: Solve for x
    x = 77,339,122.12/10,013
  6. Step 6: Final answer
    x = 7,723.87

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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.