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Finding the Fourth Proportional to 6,305.57, 9,458.76 and 2,144.42

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Solution

The fourth proportional to 6,305.57, 9,458.76 and 2,144.42 is: 3,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.57 : 9,458.76 = 2,144.42 : x
  2. Step 2: Convert to fraction form
    6,305.57/9,458.76 = 2,144.42/x
  3. Step 3: Cross multiply
    6,305.57x = 9,458.76 × 2,144.42
  4. Step 4: Simplify right side
    6,305.57x = 20,283,554.12
  5. Step 5: Solve for x
    x = 20,283,554.12/6,305.57
  6. Step 6: Final answer
    x = 3,216.77

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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.