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Finding the Fourth Proportional to 6,156.98, 8,491.38 and 5,204.50

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Solution

The fourth proportional to 6,156.98, 8,491.38 and 5,204.50 is: 7,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.98 : 8,491.38 = 5,204.50 : x
  2. Step 2: Convert to fraction form
    6,156.98/8,491.38 = 5,204.50/x
  3. Step 3: Cross multiply
    6,156.98x = 8,491.38 × 5,204.50
  4. Step 4: Simplify right side
    6,156.98x = 44,193,423.50
  5. Step 5: Solve for x
    x = 44,193,423.50/6,156.98
  6. Step 6: Final answer
    x = 7,177.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.