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Finding the Fourth Proportional to 6,614.56, 9,921.84 and 2,964

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Solution

The fourth proportional to 6,614.56, 9,921.84 and 2,964 is: 4,446

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.56 : 9,921.84 = 2,964 : x
  2. Step 2: Convert to fraction form
    6,614.56/9,921.84 = 2,964/x
  3. Step 3: Cross multiply
    6,614.56x = 9,921.84 × 2,964
  4. Step 4: Simplify right side
    6,614.56x = 29,408,333.76
  5. Step 5: Solve for x
    x = 29,408,333.76/6,614.56
  6. Step 6: Final answer
    x = 4,446

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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.