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Finding the Fourth Proportional to 6,325.88, 9,489.63 and 2,429.78

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Solution

The fourth proportional to 6,325.88, 9,489.63 and 2,429.78 is: 3,644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.88 : 9,489.63 = 2,429.78 : x
  2. Step 2: Convert to fraction form
    6,325.88/9,489.63 = 2,429.78/x
  3. Step 3: Cross multiply
    6,325.88x = 9,489.63 × 2,429.78
  4. Step 4: Simplify right side
    6,325.88x = 23,057,713.18
  5. Step 5: Solve for x
    x = 23,057,713.18/6,325.88
  6. Step 6: Final answer
    x = 3,644.98

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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.