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Finding the Fourth Proportional to 6,266.94, 8,646.38 and 3,613.98

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Solution

The fourth proportional to 6,266.94, 8,646.38 and 3,613.98 is: 4,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.94 : 8,646.38 = 3,613.98 : x
  2. Step 2: Convert to fraction form
    6,266.94/8,646.38 = 3,613.98/x
  3. Step 3: Cross multiply
    6,266.94x = 8,646.38 × 3,613.98
  4. Step 4: Simplify right side
    6,266.94x = 31,247,844.39
  5. Step 5: Solve for x
    x = 31,247,844.39/6,266.94
  6. Step 6: Final answer
    x = 4,986.14

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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.