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Finding the Fourth Proportional to 6,614.64, 9,924.56 and 2,914.28

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Solution

The fourth proportional to 6,614.64, 9,924.56 and 2,914.28 is: 4,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.64 : 9,924.56 = 2,914.28 : x
  2. Step 2: Convert to fraction form
    6,614.64/9,924.56 = 2,914.28/x
  3. Step 3: Cross multiply
    6,614.64x = 9,924.56 × 2,914.28
  4. Step 4: Simplify right side
    6,614.64x = 28,922,946.72
  5. Step 5: Solve for x
    x = 28,922,946.72/6,614.64
  6. Step 6: Final answer
    x = 4,372.57

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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.