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Finding the Fourth Proportional to 6,982.91, 9,635.91 and 4,150.16

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Solution

The fourth proportional to 6,982.91, 9,635.91 and 4,150.16 is: 5,726.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.91 : 9,635.91 = 4,150.16 : x
  2. Step 2: Convert to fraction form
    6,982.91/9,635.91 = 4,150.16/x
  3. Step 3: Cross multiply
    6,982.91x = 9,635.91 × 4,150.16
  4. Step 4: Simplify right side
    6,982.91x = 39,990,568.25
  5. Step 5: Solve for x
    x = 39,990,568.25/6,982.91
  6. Step 6: Final answer
    x = 5,726.92

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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.