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Finding the Fourth Proportional to 6,805.66, 10,189.01 and 4,610.49

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Solution

The fourth proportional to 6,805.66, 10,189.01 and 4,610.49 is: 6,902.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.66 : 10,189.01 = 4,610.49 : x
  2. Step 2: Convert to fraction form
    6,805.66/10,189.01 = 4,610.49/x
  3. Step 3: Cross multiply
    6,805.66x = 10,189.01 × 4,610.49
  4. Step 4: Simplify right side
    6,805.66x = 46,976,340.24
  5. Step 5: Solve for x
    x = 46,976,340.24/6,805.66
  6. Step 6: Final answer
    x = 6,902.54

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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.