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Finding the Fourth Proportional to 6,458.67, 9,687.96 and 4,266.87

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Solution

The fourth proportional to 6,458.67, 9,687.96 and 4,266.87 is: 6,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.67 : 9,687.96 = 4,266.87 : x
  2. Step 2: Convert to fraction form
    6,458.67/9,687.96 = 4,266.87/x
  3. Step 3: Cross multiply
    6,458.67x = 9,687.96 × 4,266.87
  4. Step 4: Simplify right side
    6,458.67x = 41,337,265.89
  5. Step 5: Solve for x
    x = 41,337,265.89/6,458.67
  6. Step 6: Final answer
    x = 6,400.28

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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.