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Finding the Fourth Proportional to 6,803.71, 10,201.75 and 2,359.30

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Solution

The fourth proportional to 6,803.71, 10,201.75 and 2,359.30 is: 3,537.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.71 : 10,201.75 = 2,359.30 : x
  2. Step 2: Convert to fraction form
    6,803.71/10,201.75 = 2,359.30/x
  3. Step 3: Cross multiply
    6,803.71x = 10,201.75 × 2,359.30
  4. Step 4: Simplify right side
    6,803.71x = 24,068,988.78
  5. Step 5: Solve for x
    x = 24,068,988.78/6,803.71
  6. Step 6: Final answer
    x = 3,537.63

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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.