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Finding the Fourth Proportional to 6,586.50, 9,883.63 and 2,429.41

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Solution

The fourth proportional to 6,586.50, 9,883.63 and 2,429.41 is: 3,645.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.50 : 9,883.63 = 2,429.41 : x
  2. Step 2: Convert to fraction form
    6,586.50/9,883.63 = 2,429.41/x
  3. Step 3: Cross multiply
    6,586.50x = 9,883.63 × 2,429.41
  4. Step 4: Simplify right side
    6,586.50x = 24,011,389.56
  5. Step 5: Solve for x
    x = 24,011,389.56/6,586.50
  6. Step 6: Final answer
    x = 3,645.55

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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.