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Finding the Fourth Proportional to 6,492.17, 9,739.20 and 2,542.70

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Solution

The fourth proportional to 6,492.17, 9,739.20 and 2,542.70 is: 3,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.17 : 9,739.20 = 2,542.70 : x
  2. Step 2: Convert to fraction form
    6,492.17/9,739.20 = 2,542.70/x
  3. Step 3: Cross multiply
    6,492.17x = 9,739.20 × 2,542.70
  4. Step 4: Simplify right side
    6,492.17x = 24,763,863.84
  5. Step 5: Solve for x
    x = 24,763,863.84/6,492.17
  6. Step 6: Final answer
    x = 3,814.42

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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.