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Finding the Fourth Proportional to 4,409.42, 6,614.13 and 1,489.77

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Solution

The fourth proportional to 4,409.42, 6,614.13 and 1,489.77 is: 2,234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.42 : 6,614.13 = 1,489.77 : x
  2. Step 2: Convert to fraction form
    4,409.42/6,614.13 = 1,489.77/x
  3. Step 3: Cross multiply
    4,409.42x = 6,614.13 × 1,489.77
  4. Step 4: Simplify right side
    4,409.42x = 9,853,562.84
  5. Step 5: Solve for x
    x = 9,853,562.84/4,409.42
  6. Step 6: Final answer
    x = 2,234.66

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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.