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Finding the Fourth Proportional to 6,912.50, 10,374.98 and 4,685.94

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Solution

The fourth proportional to 6,912.50, 10,374.98 and 4,685.94 is: 7,033.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.50 : 10,374.98 = 4,685.94 : x
  2. Step 2: Convert to fraction form
    6,912.50/10,374.98 = 4,685.94/x
  3. Step 3: Cross multiply
    6,912.50x = 10,374.98 × 4,685.94
  4. Step 4: Simplify right side
    6,912.50x = 48,616,510.35
  5. Step 5: Solve for x
    x = 48,616,510.35/6,912.50
  6. Step 6: Final answer
    x = 7,033.13

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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.