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Finding the Fourth Proportional to 6,810.66, 9,398.72 and 3,826.50

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Solution

The fourth proportional to 6,810.66, 9,398.72 and 3,826.50 is: 5,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.66 : 9,398.72 = 3,826.50 : x
  2. Step 2: Convert to fraction form
    6,810.66/9,398.72 = 3,826.50/x
  3. Step 3: Cross multiply
    6,810.66x = 9,398.72 × 3,826.50
  4. Step 4: Simplify right side
    6,810.66x = 35,964,202.08
  5. Step 5: Solve for x
    x = 35,964,202.08/6,810.66
  6. Step 6: Final answer
    x = 5,280.58

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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.