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Finding the Fourth Proportional to 6,493.17, 9,740.70 and 2,543.70

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Solution

The fourth proportional to 6,493.17, 9,740.70 and 2,543.70 is: 3,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.17 : 9,740.70 = 2,543.70 : x
  2. Step 2: Convert to fraction form
    6,493.17/9,740.70 = 2,543.70/x
  3. Step 3: Cross multiply
    6,493.17x = 9,740.70 × 2,543.70
  4. Step 4: Simplify right side
    6,493.17x = 24,777,418.59
  5. Step 5: Solve for x
    x = 24,777,418.59/6,493.17
  6. Step 6: Final answer
    x = 3,815.92

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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.