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Finding the Fourth Proportional to 8,599.50, 12,900 and 2,443.50

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Solution

The fourth proportional to 8,599.50, 12,900 and 2,443.50 is: 3,665.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,599.50 : 12,900 = 2,443.50 : x
  2. Step 2: Convert to fraction form
    8,599.50/12,900 = 2,443.50/x
  3. Step 3: Cross multiply
    8,599.50x = 12,900 × 2,443.50
  4. Step 4: Simplify right side
    8,599.50x = 31,521,150
  5. Step 5: Solve for x
    x = 31,521,150/8,599.50
  6. Step 6: Final answer
    x = 3,665.46

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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.