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Finding the Fourth Proportional to 10,797.50, 16,203.54 and 4,222.86

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Solution

The fourth proportional to 10,797.50, 16,203.54 and 4,222.86 is: 6,337.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.50 : 16,203.54 = 4,222.86 : x
  2. Step 2: Convert to fraction form
    10,797.50/16,203.54 = 4,222.86/x
  3. Step 3: Cross multiply
    10,797.50x = 16,203.54 × 4,222.86
  4. Step 4: Simplify right side
    10,797.50x = 68,425,280.92
  5. Step 5: Solve for x
    x = 68,425,280.92/10,797.50
  6. Step 6: Final answer
    x = 6,337.14

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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.