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Finding the Fourth Proportional to 6,331, 9,495.51 and 2,170.05

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Solution

The fourth proportional to 6,331, 9,495.51 and 2,170.05 is: 3,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331 : 9,495.51 = 2,170.05 : x
  2. Step 2: Convert to fraction form
    6,331/9,495.51 = 2,170.05/x
  3. Step 3: Cross multiply
    6,331x = 9,495.51 × 2,170.05
  4. Step 4: Simplify right side
    6,331x = 20,605,731.48
  5. Step 5: Solve for x
    x = 20,605,731.48/6,331
  6. Step 6: Final answer
    x = 3,254.74

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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.