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Finding the Fourth Proportional to 6,305.34, 9,459.45 and 1,922.88

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Solution

The fourth proportional to 6,305.34, 9,459.45 and 1,922.88 is: 2,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.34 : 9,459.45 = 1,922.88 : x
  2. Step 2: Convert to fraction form
    6,305.34/9,459.45 = 1,922.88/x
  3. Step 3: Cross multiply
    6,305.34x = 9,459.45 × 1,922.88
  4. Step 4: Simplify right side
    6,305.34x = 18,189,387.22
  5. Step 5: Solve for x
    x = 18,189,387.22/6,305.34
  6. Step 6: Final answer
    x = 2,884.76

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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.