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Finding the Fourth Proportional to 6,801.01, 10,201.77 and 1,870.66

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Solution

The fourth proportional to 6,801.01, 10,201.77 and 1,870.66 is: 2,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.01 : 10,201.77 = 1,870.66 : x
  2. Step 2: Convert to fraction form
    6,801.01/10,201.77 = 1,870.66/x
  3. Step 3: Cross multiply
    6,801.01x = 10,201.77 × 1,870.66
  4. Step 4: Simplify right side
    6,801.01x = 19,084,043.07
  5. Step 5: Solve for x
    x = 19,084,043.07/6,801.01
  6. Step 6: Final answer
    x = 2,806.06

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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.