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Finding the Fourth Proportional to 6,474, 8,934.12 and 3,530

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Solution

The fourth proportional to 6,474, 8,934.12 and 3,530 is: 4,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474 : 8,934.12 = 3,530 : x
  2. Step 2: Convert to fraction form
    6,474/8,934.12 = 3,530/x
  3. Step 3: Cross multiply
    6,474x = 8,934.12 × 3,530
  4. Step 4: Simplify right side
    6,474x = 31,537,443.60
  5. Step 5: Solve for x
    x = 31,537,443.60/6,474
  6. Step 6: Final answer
    x = 4,871.40

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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.