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Finding the Fourth Proportional to 6,111.54, 9,165.44 and 2,601.50

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Solution

The fourth proportional to 6,111.54, 9,165.44 and 2,601.50 is: 3,901.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.54 : 9,165.44 = 2,601.50 : x
  2. Step 2: Convert to fraction form
    6,111.54/9,165.44 = 2,601.50/x
  3. Step 3: Cross multiply
    6,111.54x = 9,165.44 × 2,601.50
  4. Step 4: Simplify right side
    6,111.54x = 23,843,892.16
  5. Step 5: Solve for x
    x = 23,843,892.16/6,111.54
  6. Step 6: Final answer
    x = 3,901.45

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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.