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Finding the Fourth Proportional to 6,492.45, 9,740.12 and 3,027.81

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Solution

The fourth proportional to 6,492.45, 9,740.12 and 3,027.81 is: 4,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.45 : 9,740.12 = 3,027.81 : x
  2. Step 2: Convert to fraction form
    6,492.45/9,740.12 = 3,027.81/x
  3. Step 3: Cross multiply
    6,492.45x = 9,740.12 × 3,027.81
  4. Step 4: Simplify right side
    6,492.45x = 29,491,232.74
  5. Step 5: Solve for x
    x = 29,491,232.74/6,492.45
  6. Step 6: Final answer
    x = 4,542.39

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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.