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Finding the Fourth Proportional to 6,348.32, 9,522.48 and 1,731.32

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Solution

The fourth proportional to 6,348.32, 9,522.48 and 1,731.32 is: 2,596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.32 : 9,522.48 = 1,731.32 : x
  2. Step 2: Convert to fraction form
    6,348.32/9,522.48 = 1,731.32/x
  3. Step 3: Cross multiply
    6,348.32x = 9,522.48 × 1,731.32
  4. Step 4: Simplify right side
    6,348.32x = 16,486,403.80
  5. Step 5: Solve for x
    x = 16,486,403.80/6,348.32
  6. Step 6: Final answer
    x = 2,596.97

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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.