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Finding the Fourth Proportional to 6,998.27, 9,664.03 and 4,446.85

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Solution

The fourth proportional to 6,998.27, 9,664.03 and 4,446.85 is: 6,140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.27 : 9,664.03 = 4,446.85 : x
  2. Step 2: Convert to fraction form
    6,998.27/9,664.03 = 4,446.85/x
  3. Step 3: Cross multiply
    6,998.27x = 9,664.03 × 4,446.85
  4. Step 4: Simplify right side
    6,998.27x = 42,974,491.81
  5. Step 5: Solve for x
    x = 42,974,491.81/6,998.27
  6. Step 6: Final answer
    x = 6,140.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.