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Finding the Fourth Proportional to 7,589.84, 11,384.82 and 2,659.59

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Solution

The fourth proportional to 7,589.84, 11,384.82 and 2,659.59 is: 3,989.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.84 : 11,384.82 = 2,659.59 : x
  2. Step 2: Convert to fraction form
    7,589.84/11,384.82 = 2,659.59/x
  3. Step 3: Cross multiply
    7,589.84x = 11,384.82 × 2,659.59
  4. Step 4: Simplify right side
    7,589.84x = 30,278,953.42
  5. Step 5: Solve for x
    x = 30,278,953.42/7,589.84
  6. Step 6: Final answer
    x = 3,989.41

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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.