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Finding the Fourth Proportional to 6,571.03, 9,068 and 3,586.87

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Solution

The fourth proportional to 6,571.03, 9,068 and 3,586.87 is: 4,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.03 : 9,068 = 3,586.87 : x
  2. Step 2: Convert to fraction form
    6,571.03/9,068 = 3,586.87/x
  3. Step 3: Cross multiply
    6,571.03x = 9,068 × 3,586.87
  4. Step 4: Simplify right side
    6,571.03x = 32,525,737.16
  5. Step 5: Solve for x
    x = 32,525,737.16/6,571.03
  6. Step 6: Final answer
    x = 4,949.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.