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Finding the Fourth Proportional to 6,614.28, 9,921.30 and 1,616.69

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Solution

The fourth proportional to 6,614.28, 9,921.30 and 1,616.69 is: 2,425.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.28 : 9,921.30 = 1,616.69 : x
  2. Step 2: Convert to fraction form
    6,614.28/9,921.30 = 1,616.69/x
  3. Step 3: Cross multiply
    6,614.28x = 9,921.30 × 1,616.69
  4. Step 4: Simplify right side
    6,614.28x = 16,039,666.50
  5. Step 5: Solve for x
    x = 16,039,666.50/6,614.28
  6. Step 6: Final answer
    x = 2,425.01

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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.