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Finding the Fourth Proportional to 27,513.52, 41,271.08 and 6,737

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Solution

The fourth proportional to 27,513.52, 41,271.08 and 6,737 is: 10,105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,513.52 : 41,271.08 = 6,737 : x
  2. Step 2: Convert to fraction form
    27,513.52/41,271.08 = 6,737/x
  3. Step 3: Cross multiply
    27,513.52x = 41,271.08 × 6,737
  4. Step 4: Simplify right side
    27,513.52x = 278,043,265.96
  5. Step 5: Solve for x
    x = 278,043,265.96/27,513.52
  6. Step 6: Final answer
    x = 10,105.70

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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.