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Finding the Fourth Proportional to 4,909.94, 7,364.10 and 1,446.38

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Solution

The fourth proportional to 4,909.94, 7,364.10 and 1,446.38 is: 2,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.94 : 7,364.10 = 1,446.38 : x
  2. Step 2: Convert to fraction form
    4,909.94/7,364.10 = 1,446.38/x
  3. Step 3: Cross multiply
    4,909.94x = 7,364.10 × 1,446.38
  4. Step 4: Simplify right side
    4,909.94x = 10,651,286.96
  5. Step 5: Solve for x
    x = 10,651,286.96/4,909.94
  6. Step 6: Final answer
    x = 2,169.33

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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.