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Finding the Fourth Proportional to 6,102.72, 9,153.76 and 2,591.76

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Solution

The fourth proportional to 6,102.72, 9,153.76 and 2,591.76 is: 3,887.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.72 : 9,153.76 = 2,591.76 : x
  2. Step 2: Convert to fraction form
    6,102.72/9,153.76 = 2,591.76/x
  3. Step 3: Cross multiply
    6,102.72x = 9,153.76 × 2,591.76
  4. Step 4: Simplify right side
    6,102.72x = 23,724,349.02
  5. Step 5: Solve for x
    x = 23,724,349.02/6,102.72
  6. Step 6: Final answer
    x = 3,887.50

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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.