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Finding the Fourth Proportional to 6,229.76, 9,348.29 and 2,531.22

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Solution

The fourth proportional to 6,229.76, 9,348.29 and 2,531.22 is: 3,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,229.76 : 9,348.29 = 2,531.22 : x
  2. Step 2: Convert to fraction form
    6,229.76/9,348.29 = 2,531.22/x
  3. Step 3: Cross multiply
    6,229.76x = 9,348.29 × 2,531.22
  4. Step 4: Simplify right side
    6,229.76x = 23,662,612.15
  5. Step 5: Solve for x
    x = 23,662,612.15/6,229.76
  6. Step 6: Final answer
    x = 3,798.32

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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.