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Finding the Fourth Proportional to 6,292.98, 9,439.65 and 2,133

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Solution

The fourth proportional to 6,292.98, 9,439.65 and 2,133 is: 3,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.98 : 9,439.65 = 2,133 : x
  2. Step 2: Convert to fraction form
    6,292.98/9,439.65 = 2,133/x
  3. Step 3: Cross multiply
    6,292.98x = 9,439.65 × 2,133
  4. Step 4: Simplify right side
    6,292.98x = 20,134,773.45
  5. Step 5: Solve for x
    x = 20,134,773.45/6,292.98
  6. Step 6: Final answer
    x = 3,199.56

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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.