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Finding the Fourth Proportional to 4,733.38, 7,099.77 and 1,446.17

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Solution

The fourth proportional to 4,733.38, 7,099.77 and 1,446.17 is: 2,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.38 : 7,099.77 = 1,446.17 : x
  2. Step 2: Convert to fraction form
    4,733.38/7,099.77 = 1,446.17/x
  3. Step 3: Cross multiply
    4,733.38x = 7,099.77 × 1,446.17
  4. Step 4: Simplify right side
    4,733.38x = 10,267,474.38
  5. Step 5: Solve for x
    x = 10,267,474.38/4,733.38
  6. Step 6: Final answer
    x = 2,169.17

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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.