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Finding the Fourth Proportional to 9,996.54, 14,991.77 and 4,151.78

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Solution

The fourth proportional to 9,996.54, 14,991.77 and 4,151.78 is: 6,226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.54 : 14,991.77 = 4,151.78 : x
  2. Step 2: Convert to fraction form
    9,996.54/14,991.77 = 4,151.78/x
  3. Step 3: Cross multiply
    9,996.54x = 14,991.77 × 4,151.78
  4. Step 4: Simplify right side
    9,996.54x = 62,242,530.85
  5. Step 5: Solve for x
    x = 62,242,530.85/9,996.54
  6. Step 6: Final answer
    x = 6,226.41

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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.