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Finding the Fourth Proportional to 6,808, 9,395.04 and 4,154.98

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Solution

The fourth proportional to 6,808, 9,395.04 and 4,154.98 is: 5,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808 : 9,395.04 = 4,154.98 : x
  2. Step 2: Convert to fraction form
    6,808/9,395.04 = 4,154.98/x
  3. Step 3: Cross multiply
    6,808x = 9,395.04 × 4,154.98
  4. Step 4: Simplify right side
    6,808x = 39,036,203.30
  5. Step 5: Solve for x
    x = 39,036,203.30/6,808
  6. Step 6: Final answer
    x = 5,733.87

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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.