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Finding the Fourth Proportional to 6,111, 9,166.86 and 1,728.06

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Solution

The fourth proportional to 6,111, 9,166.86 and 1,728.06 is: 2,592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111 : 9,166.86 = 1,728.06 : x
  2. Step 2: Convert to fraction form
    6,111/9,166.86 = 1,728.06/x
  3. Step 3: Cross multiply
    6,111x = 9,166.86 × 1,728.06
  4. Step 4: Simplify right side
    6,111x = 15,840,884.09
  5. Step 5: Solve for x
    x = 15,840,884.09/6,111
  6. Step 6: Final answer
    x = 2,592.19

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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.