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Finding the Fourth Proportional to 6,047.98, 9,069.80 and 3,276.70

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Solution

The fourth proportional to 6,047.98, 9,069.80 and 3,276.70 is: 4,913.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.98 : 9,069.80 = 3,276.70 : x
  2. Step 2: Convert to fraction form
    6,047.98/9,069.80 = 3,276.70/x
  3. Step 3: Cross multiply
    6,047.98x = 9,069.80 × 3,276.70
  4. Step 4: Simplify right side
    6,047.98x = 29,719,013.66
  5. Step 5: Solve for x
    x = 29,719,013.66/6,047.98
  6. Step 6: Final answer
    x = 4,913.87

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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.