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Finding the Fourth Proportional to 6,714.05, 10,071.10 and 2,331.53

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Solution

The fourth proportional to 6,714.05, 10,071.10 and 2,331.53 is: 3,497.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.05 : 10,071.10 = 2,331.53 : x
  2. Step 2: Convert to fraction form
    6,714.05/10,071.10 = 2,331.53/x
  3. Step 3: Cross multiply
    6,714.05x = 10,071.10 × 2,331.53
  4. Step 4: Simplify right side
    6,714.05x = 23,481,015.60
  5. Step 5: Solve for x
    x = 23,481,015.60/6,714.05
  6. Step 6: Final answer
    x = 3,497.29

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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.