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Finding the Fourth Proportional to 6,800.81, 10,201.68 and 1,869.93

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Solution

The fourth proportional to 6,800.81, 10,201.68 and 1,869.93 is: 2,805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.81 : 10,201.68 = 1,869.93 : x
  2. Step 2: Convert to fraction form
    6,800.81/10,201.68 = 1,869.93/x
  3. Step 3: Cross multiply
    6,800.81x = 10,201.68 × 1,869.93
  4. Step 4: Simplify right side
    6,800.81x = 19,076,427.48
  5. Step 5: Solve for x
    x = 19,076,427.48/6,800.81
  6. Step 6: Final answer
    x = 2,805.02

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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.