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Finding the Fourth Proportional to 8,630.50, 12,946.47 and 2,474.50

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Solution

The fourth proportional to 8,630.50, 12,946.47 and 2,474.50 is: 3,711.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,630.50 : 12,946.47 = 2,474.50 : x
  2. Step 2: Convert to fraction form
    8,630.50/12,946.47 = 2,474.50/x
  3. Step 3: Cross multiply
    8,630.50x = 12,946.47 × 2,474.50
  4. Step 4: Simplify right side
    8,630.50x = 32,036,040.02
  5. Step 5: Solve for x
    x = 32,036,040.02/8,630.50
  6. Step 6: Final answer
    x = 3,711.96

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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.