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Finding the Fourth Proportional to 10,309, 15,466.14 and 3,383.56

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Solution

The fourth proportional to 10,309, 15,466.14 and 3,383.56 is: 5,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,309 : 15,466.14 = 3,383.56 : x
  2. Step 2: Convert to fraction form
    10,309/15,466.14 = 3,383.56/x
  3. Step 3: Cross multiply
    10,309x = 15,466.14 × 3,383.56
  4. Step 4: Simplify right side
    10,309x = 52,330,612.66
  5. Step 5: Solve for x
    x = 52,330,612.66/10,309
  6. Step 6: Final answer
    x = 5,076.21

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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.