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Finding the Fourth Proportional to 3,663.17, 5,494.74 and 889.84

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Solution

The fourth proportional to 3,663.17, 5,494.74 and 889.84 is: 1,334.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.17 : 5,494.74 = 889.84 : x
  2. Step 2: Convert to fraction form
    3,663.17/5,494.74 = 889.84/x
  3. Step 3: Cross multiply
    3,663.17x = 5,494.74 × 889.84
  4. Step 4: Simplify right side
    3,663.17x = 4,889,439.44
  5. Step 5: Solve for x
    x = 4,889,439.44/3,663.17
  6. Step 6: Final answer
    x = 1,334.76

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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.