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Finding the Fourth Proportional to 6,462.43, 9,702.23 and 3,344.44

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Solution

The fourth proportional to 6,462.43, 9,702.23 and 3,344.44 is: 5,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.43 : 9,702.23 = 3,344.44 : x
  2. Step 2: Convert to fraction form
    6,462.43/9,702.23 = 3,344.44/x
  3. Step 3: Cross multiply
    6,462.43x = 9,702.23 × 3,344.44
  4. Step 4: Simplify right side
    6,462.43x = 32,448,522.13
  5. Step 5: Solve for x
    x = 32,448,522.13/6,462.43
  6. Step 6: Final answer
    x = 5,021.10

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1.5x scale

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.