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Finding the Fourth Proportional to 6,305.79, 9,459.72 and 1,922.22

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Solution

The fourth proportional to 6,305.79, 9,459.72 and 1,922.22 is: 2,883.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.79 : 9,459.72 = 1,922.22 : x
  2. Step 2: Convert to fraction form
    6,305.79/9,459.72 = 1,922.22/x
  3. Step 3: Cross multiply
    6,305.79x = 9,459.72 × 1,922.22
  4. Step 4: Simplify right side
    6,305.79x = 18,183,662.98
  5. Step 5: Solve for x
    x = 18,183,662.98/6,305.79
  6. Step 6: Final answer
    x = 2,883.65

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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.