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Finding the Fourth Proportional to 9,589.88, 14,384.82 and 2,664.38

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Solution

The fourth proportional to 9,589.88, 14,384.82 and 2,664.38 is: 3,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.88 : 14,384.82 = 2,664.38 : x
  2. Step 2: Convert to fraction form
    9,589.88/14,384.82 = 2,664.38/x
  3. Step 3: Cross multiply
    9,589.88x = 14,384.82 × 2,664.38
  4. Step 4: Simplify right side
    9,589.88x = 38,326,554.79
  5. Step 5: Solve for x
    x = 38,326,554.79/9,589.88
  6. Step 6: Final answer
    x = 3,996.56

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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.