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Finding the Fourth Proportional to 6,427.56, 9,614.94 and 5,131.56

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Solution

The fourth proportional to 6,427.56, 9,614.94 and 5,131.56 is: 7,676.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.56 : 9,614.94 = 5,131.56 : x
  2. Step 2: Convert to fraction form
    6,427.56/9,614.94 = 5,131.56/x
  3. Step 3: Cross multiply
    6,427.56x = 9,614.94 × 5,131.56
  4. Step 4: Simplify right side
    6,427.56x = 49,339,641.51
  5. Step 5: Solve for x
    x = 49,339,641.51/6,427.56
  6. Step 6: Final answer
    x = 7,676.26

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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.