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Finding the Fourth Proportional to 6,266.72, 8,648 and 3,614.08

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Solution

The fourth proportional to 6,266.72, 8,648 and 3,614.08 is: 4,987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.72 : 8,648 = 3,614.08 : x
  2. Step 2: Convert to fraction form
    6,266.72/8,648 = 3,614.08/x
  3. Step 3: Cross multiply
    6,266.72x = 8,648 × 3,614.08
  4. Step 4: Simplify right side
    6,266.72x = 31,254,563.84
  5. Step 5: Solve for x
    x = 31,254,563.84/6,266.72
  6. Step 6: Final answer
    x = 4,987.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.