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Finding the Fourth Proportional to 8,309.56, 12,466.14 and 2,466

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Solution

The fourth proportional to 8,309.56, 12,466.14 and 2,466 is: 3,699.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.56 : 12,466.14 = 2,466 : x
  2. Step 2: Convert to fraction form
    8,309.56/12,466.14 = 2,466/x
  3. Step 3: Cross multiply
    8,309.56x = 12,466.14 × 2,466
  4. Step 4: Simplify right side
    8,309.56x = 30,741,501.24
  5. Step 5: Solve for x
    x = 30,741,501.24/8,309.56
  6. Step 6: Final answer
    x = 3,699.53

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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.