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Finding the Fourth Proportional to 6,986.97, 9,640.62 and 4,003.74

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Solution

The fourth proportional to 6,986.97, 9,640.62 and 4,003.74 is: 5,524.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.97 : 9,640.62 = 4,003.74 : x
  2. Step 2: Convert to fraction form
    6,986.97/9,640.62 = 4,003.74/x
  3. Step 3: Cross multiply
    6,986.97x = 9,640.62 × 4,003.74
  4. Step 4: Simplify right side
    6,986.97x = 38,598,535.92
  5. Step 5: Solve for x
    x = 38,598,535.92/6,986.97
  6. Step 6: Final answer
    x = 5,524.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.