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Finding the Fourth Proportional to 6,111, 9,166.68 and 1,494

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Solution

The fourth proportional to 6,111, 9,166.68 and 1,494 is: 2,241.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111 : 9,166.68 = 1,494 : x
  2. Step 2: Convert to fraction form
    6,111/9,166.68 = 1,494/x
  3. Step 3: Cross multiply
    6,111x = 9,166.68 × 1,494
  4. Step 4: Simplify right side
    6,111x = 13,695,019.92
  5. Step 5: Solve for x
    x = 13,695,019.92/6,111
  6. Step 6: Final answer
    x = 2,241.04

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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.