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Finding the Fourth Proportional to 6,884, 9,499.68 and 3,740.12

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Solution

The fourth proportional to 6,884, 9,499.68 and 3,740.12 is: 5,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884 : 9,499.68 = 3,740.12 : x
  2. Step 2: Convert to fraction form
    6,884/9,499.68 = 3,740.12/x
  3. Step 3: Cross multiply
    6,884x = 9,499.68 × 3,740.12
  4. Step 4: Simplify right side
    6,884x = 35,529,943.16
  5. Step 5: Solve for x
    x = 35,529,943.16/6,884
  6. Step 6: Final answer
    x = 5,161.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.