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Finding the Fourth Proportional to 6,266.16, 8,646.96 and 3,433.02

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Solution

The fourth proportional to 6,266.16, 8,646.96 and 3,433.02 is: 4,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.16 : 8,646.96 = 3,433.02 : x
  2. Step 2: Convert to fraction form
    6,266.16/8,646.96 = 3,433.02/x
  3. Step 3: Cross multiply
    6,266.16x = 8,646.96 × 3,433.02
  4. Step 4: Simplify right side
    6,266.16x = 29,685,186.62
  5. Step 5: Solve for x
    x = 29,685,186.62/6,266.16
  6. Step 6: Final answer
    x = 4,737.38

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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.