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Finding the Fourth Proportional to 6,301.84, 9,453.67 and 1,919.18

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Solution

The fourth proportional to 6,301.84, 9,453.67 and 1,919.18 is: 2,879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.84 : 9,453.67 = 1,919.18 : x
  2. Step 2: Convert to fraction form
    6,301.84/9,453.67 = 1,919.18/x
  3. Step 3: Cross multiply
    6,301.84x = 9,453.67 × 1,919.18
  4. Step 4: Simplify right side
    6,301.84x = 18,143,294.39
  5. Step 5: Solve for x
    x = 18,143,294.39/6,301.84
  6. Step 6: Final answer
    x = 2,879.05

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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.