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Finding the Fourth Proportional to 4,630.11, 6,948.24 and 2,165.13

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Solution

The fourth proportional to 4,630.11, 6,948.24 and 2,165.13 is: 3,249.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.11 : 6,948.24 = 2,165.13 : x
  2. Step 2: Convert to fraction form
    4,630.11/6,948.24 = 2,165.13/x
  3. Step 3: Cross multiply
    4,630.11x = 6,948.24 × 2,165.13
  4. Step 4: Simplify right side
    4,630.11x = 15,043,842.87
  5. Step 5: Solve for x
    x = 15,043,842.87/4,630.11
  6. Step 6: Final answer
    x = 3,249.13

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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.