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Finding the Fourth Proportional to 11,013.50, 16,513.07 and 6,269.81

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Solution

The fourth proportional to 11,013.50, 16,513.07 and 6,269.81 is: 9,400.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.50 : 16,513.07 = 6,269.81 : x
  2. Step 2: Convert to fraction form
    11,013.50/16,513.07 = 6,269.81/x
  3. Step 3: Cross multiply
    11,013.50x = 16,513.07 × 6,269.81
  4. Step 4: Simplify right side
    11,013.50x = 103,533,697.50
  5. Step 5: Solve for x
    x = 103,533,697.50/11,013.50
  6. Step 6: Final answer
    x = 9,400.62

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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.