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Finding the Fourth Proportional to 6,507.34, 9,761.01 and 3,181.22

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Solution

The fourth proportional to 6,507.34, 9,761.01 and 3,181.22 is: 4,771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.34 : 9,761.01 = 3,181.22 : x
  2. Step 2: Convert to fraction form
    6,507.34/9,761.01 = 3,181.22/x
  3. Step 3: Cross multiply
    6,507.34x = 9,761.01 × 3,181.22
  4. Step 4: Simplify right side
    6,507.34x = 31,051,896.10
  5. Step 5: Solve for x
    x = 31,051,896.10/6,507.34
  6. Step 6: Final answer
    x = 4,771.83

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Similar ratio
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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.