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Finding the Fourth Proportional to 6,305.10, 9,459.02 and 1,922.44

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Solution

The fourth proportional to 6,305.10, 9,459.02 and 1,922.44 is: 2,884.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.10 : 9,459.02 = 1,922.44 : x
  2. Step 2: Convert to fraction form
    6,305.10/9,459.02 = 1,922.44/x
  3. Step 3: Cross multiply
    6,305.10x = 9,459.02 × 1,922.44
  4. Step 4: Simplify right side
    6,305.10x = 18,184,398.41
  5. Step 5: Solve for x
    x = 18,184,398.41/6,305.10
  6. Step 6: Final answer
    x = 2,884.08

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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.