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Finding the Fourth Proportional to 6,109.03, 9,164.67 and 1,947.97

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Solution

The fourth proportional to 6,109.03, 9,164.67 and 1,947.97 is: 2,922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.03 : 9,164.67 = 1,947.97 : x
  2. Step 2: Convert to fraction form
    6,109.03/9,164.67 = 1,947.97/x
  3. Step 3: Cross multiply
    6,109.03x = 9,164.67 × 1,947.97
  4. Step 4: Simplify right side
    6,109.03x = 17,852,502.22
  5. Step 5: Solve for x
    x = 17,852,502.22/6,109.03
  6. Step 6: Final answer
    x = 2,922.31

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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.