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Finding the Fourth Proportional to 9,589.90, 14,384.84 and 3,016.66

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Solution

The fourth proportional to 9,589.90, 14,384.84 and 3,016.66 is: 4,524.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.90 : 14,384.84 = 3,016.66 : x
  2. Step 2: Convert to fraction form
    9,589.90/14,384.84 = 3,016.66/x
  3. Step 3: Cross multiply
    9,589.90x = 14,384.84 × 3,016.66
  4. Step 4: Simplify right side
    9,589.90x = 43,394,171.43
  5. Step 5: Solve for x
    x = 43,394,171.43/9,589.90
  6. Step 6: Final answer
    x = 4,524.99

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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.