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Finding the Fourth Proportional to 6,967.23, 9,614.92 and 3,823.41

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Solution

The fourth proportional to 6,967.23, 9,614.92 and 3,823.41 is: 5,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.23 : 9,614.92 = 3,823.41 : x
  2. Step 2: Convert to fraction form
    6,967.23/9,614.92 = 3,823.41/x
  3. Step 3: Cross multiply
    6,967.23x = 9,614.92 × 3,823.41
  4. Step 4: Simplify right side
    6,967.23x = 36,761,781.28
  5. Step 5: Solve for x
    x = 36,761,781.28/6,967.23
  6. Step 6: Final answer
    x = 5,276.38

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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.