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Finding the Fourth Proportional to 6,801.30, 10,184.67 and 3,719.70

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Solution

The fourth proportional to 6,801.30, 10,184.67 and 3,719.70 is: 5,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.30 : 10,184.67 = 3,719.70 : x
  2. Step 2: Convert to fraction form
    6,801.30/10,184.67 = 3,719.70/x
  3. Step 3: Cross multiply
    6,801.30x = 10,184.67 × 3,719.70
  4. Step 4: Simplify right side
    6,801.30x = 37,883,917.00
  5. Step 5: Solve for x
    x = 37,883,917.00/6,801.30
  6. Step 6: Final answer
    x = 5,570.10

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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.