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Finding the Fourth Proportional to 6,601.68, 9,889.70 and 5,900.64

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Solution

The fourth proportional to 6,601.68, 9,889.70 and 5,900.64 is: 8,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.68 : 9,889.70 = 5,900.64 : x
  2. Step 2: Convert to fraction form
    6,601.68/9,889.70 = 5,900.64/x
  3. Step 3: Cross multiply
    6,601.68x = 9,889.70 × 5,900.64
  4. Step 4: Simplify right side
    6,601.68x = 58,355,559.41
  5. Step 5: Solve for x
    x = 58,355,559.41/6,601.68
  6. Step 6: Final answer
    x = 8,839.50

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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.