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Finding the Fourth Proportional to 6,986.92, 9,642 and 3,843.12

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Solution

The fourth proportional to 6,986.92, 9,642 and 3,843.12 is: 5,303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.92 : 9,642 = 3,843.12 : x
  2. Step 2: Convert to fraction form
    6,986.92/9,642 = 3,843.12/x
  3. Step 3: Cross multiply
    6,986.92x = 9,642 × 3,843.12
  4. Step 4: Simplify right side
    6,986.92x = 37,055,363.04
  5. Step 5: Solve for x
    x = 37,055,363.04/6,986.92
  6. Step 6: Final answer
    x = 5,303.53

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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.