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Finding the Fourth Proportional to 6,291.24, 9,427.14 and 4,182

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Solution

The fourth proportional to 6,291.24, 9,427.14 and 4,182 is: 6,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.24 : 9,427.14 = 4,182 : x
  2. Step 2: Convert to fraction form
    6,291.24/9,427.14 = 4,182/x
  3. Step 3: Cross multiply
    6,291.24x = 9,427.14 × 4,182
  4. Step 4: Simplify right side
    6,291.24x = 39,424,299.48
  5. Step 5: Solve for x
    x = 39,424,299.48/6,291.24
  6. Step 6: Final answer
    x = 6,266.54

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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.