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Finding the Fourth Proportional to 9,674.96, 14,510.10 and 3,099.80

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Solution

The fourth proportional to 9,674.96, 14,510.10 and 3,099.80 is: 4,648.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.96 : 14,510.10 = 3,099.80 : x
  2. Step 2: Convert to fraction form
    9,674.96/14,510.10 = 3,099.80/x
  3. Step 3: Cross multiply
    9,674.96x = 14,510.10 × 3,099.80
  4. Step 4: Simplify right side
    9,674.96x = 44,978,407.98
  5. Step 5: Solve for x
    x = 44,978,407.98/9,674.96
  6. Step 6: Final answer
    x = 4,648.95

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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.