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Finding the Fourth Proportional to 6,553.35, 9,834.13 and 2,657.77

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Solution

The fourth proportional to 6,553.35, 9,834.13 and 2,657.77 is: 3,988.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.35 : 9,834.13 = 2,657.77 : x
  2. Step 2: Convert to fraction form
    6,553.35/9,834.13 = 2,657.77/x
  3. Step 3: Cross multiply
    6,553.35x = 9,834.13 × 2,657.77
  4. Step 4: Simplify right side
    6,553.35x = 26,136,855.69
  5. Step 5: Solve for x
    x = 26,136,855.69/6,553.35
  6. Step 6: Final answer
    x = 3,988.32

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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.