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Finding the Fourth Proportional to 6,996.54, 9,644.79 and 4,634.58

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Solution

The fourth proportional to 6,996.54, 9,644.79 and 4,634.58 is: 6,388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.54 : 9,644.79 = 4,634.58 : x
  2. Step 2: Convert to fraction form
    6,996.54/9,644.79 = 4,634.58/x
  3. Step 3: Cross multiply
    6,996.54x = 9,644.79 × 4,634.58
  4. Step 4: Simplify right side
    6,996.54x = 44,699,550.84
  5. Step 5: Solve for x
    x = 44,699,550.84/6,996.54
  6. Step 6: Final answer
    x = 6,388.81

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1.5x scale

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.