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Finding the Fourth Proportional to 6,755.84, 10,131.17 and 4,669.52

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Solution

The fourth proportional to 6,755.84, 10,131.17 and 4,669.52 is: 7,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.84 : 10,131.17 = 4,669.52 : x
  2. Step 2: Convert to fraction form
    6,755.84/10,131.17 = 4,669.52/x
  3. Step 3: Cross multiply
    6,755.84x = 10,131.17 × 4,669.52
  4. Step 4: Simplify right side
    6,755.84x = 47,307,702.92
  5. Step 5: Solve for x
    x = 47,307,702.92/6,755.84
  6. Step 6: Final answer
    x = 7,002.49

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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.