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Finding the Fourth Proportional to 6,492.52, 9,747.42 and 3,416.68

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Solution

The fourth proportional to 6,492.52, 9,747.42 and 3,416.68 is: 5,129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.52 : 9,747.42 = 3,416.68 : x
  2. Step 2: Convert to fraction form
    6,492.52/9,747.42 = 3,416.68/x
  3. Step 3: Cross multiply
    6,492.52x = 9,747.42 × 3,416.68
  4. Step 4: Simplify right side
    6,492.52x = 33,303,814.97
  5. Step 5: Solve for x
    x = 33,303,814.97/6,492.52
  6. Step 6: Final answer
    x = 5,129.57

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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.