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Finding the Fourth Proportional to 6,798.85, 9,381.75 and 3,814

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Solution

The fourth proportional to 6,798.85, 9,381.75 and 3,814 is: 5,262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.85 : 9,381.75 = 3,814 : x
  2. Step 2: Convert to fraction form
    6,798.85/9,381.75 = 3,814/x
  3. Step 3: Cross multiply
    6,798.85x = 9,381.75 × 3,814
  4. Step 4: Simplify right side
    6,798.85x = 35,781,994.50
  5. Step 5: Solve for x
    x = 35,781,994.50/6,798.85
  6. Step 6: Final answer
    x = 5,262.95

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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.