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Finding the Fourth Proportional to 6,336.98, 9,496.10 and 5,644.97

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Solution

The fourth proportional to 6,336.98, 9,496.10 and 5,644.97 is: 8,459.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.98 : 9,496.10 = 5,644.97 : x
  2. Step 2: Convert to fraction form
    6,336.98/9,496.10 = 5,644.97/x
  3. Step 3: Cross multiply
    6,336.98x = 9,496.10 × 5,644.97
  4. Step 4: Simplify right side
    6,336.98x = 53,605,166.25
  5. Step 5: Solve for x
    x = 53,605,166.25/6,336.98
  6. Step 6: Final answer
    x = 8,459.11

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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.