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Finding the Fourth Proportional to 7,589.53, 11,389.46 and 4,658.89

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Solution

The fourth proportional to 7,589.53, 11,389.46 and 4,658.89 is: 6,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.53 : 11,389.46 = 4,658.89 : x
  2. Step 2: Convert to fraction form
    7,589.53/11,389.46 = 4,658.89/x
  3. Step 3: Cross multiply
    7,589.53x = 11,389.46 × 4,658.89
  4. Step 4: Simplify right side
    7,589.53x = 53,062,241.30
  5. Step 5: Solve for x
    x = 53,062,241.30/7,589.53
  6. Step 6: Final answer
    x = 6,991.51

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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.