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Finding the Fourth Proportional to 10,408, 15,614.16 and 3,291.76

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Solution

The fourth proportional to 10,408, 15,614.16 and 3,291.76 is: 4,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408 : 15,614.16 = 3,291.76 : x
  2. Step 2: Convert to fraction form
    10,408/15,614.16 = 3,291.76/x
  3. Step 3: Cross multiply
    10,408x = 15,614.16 × 3,291.76
  4. Step 4: Simplify right side
    10,408x = 51,398,067.32
  5. Step 5: Solve for x
    x = 51,398,067.32/10,408
  6. Step 6: Final answer
    x = 4,938.32

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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.