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Finding the Fourth Proportional to 6,801.30, 10,201.14 and 1,871.44

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Solution

The fourth proportional to 6,801.30, 10,201.14 and 1,871.44 is: 2,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.30 : 10,201.14 = 1,871.44 : x
  2. Step 2: Convert to fraction form
    6,801.30/10,201.14 = 1,871.44/x
  3. Step 3: Cross multiply
    6,801.30x = 10,201.14 × 1,871.44
  4. Step 4: Simplify right side
    6,801.30x = 19,090,821.44
  5. Step 5: Solve for x
    x = 19,090,821.44/6,801.30
  6. Step 6: Final answer
    x = 2,806.94

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1.5x scale

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.