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Finding the Fourth Proportional to 6,427.06, 9,614.19 and 5,131.06

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Solution

The fourth proportional to 6,427.06, 9,614.19 and 5,131.06 is: 7,675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.06 : 9,614.19 = 5,131.06 : x
  2. Step 2: Convert to fraction form
    6,427.06/9,614.19 = 5,131.06/x
  3. Step 3: Cross multiply
    6,427.06x = 9,614.19 × 5,131.06
  4. Step 4: Simplify right side
    6,427.06x = 49,330,985.74
  5. Step 5: Solve for x
    x = 49,330,985.74/6,427.06
  6. Step 6: Final answer
    x = 7,675.51

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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.