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Finding the Fourth Proportional to 6,230.39, 9,305.20 and 5,644.22

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Solution

The fourth proportional to 6,230.39, 9,305.20 and 5,644.22 is: 8,429.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.39 : 9,305.20 = 5,644.22 : x
  2. Step 2: Convert to fraction form
    6,230.39/9,305.20 = 5,644.22/x
  3. Step 3: Cross multiply
    6,230.39x = 9,305.20 × 5,644.22
  4. Step 4: Simplify right side
    6,230.39x = 52,520,521.20
  5. Step 5: Solve for x
    x = 52,520,521.20/6,230.39
  6. Step 6: Final answer
    x = 8,429.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.