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Finding the Fourth Proportional to 7,658.67, 10,579.10 and 5,679.43

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Solution

The fourth proportional to 7,658.67, 10,579.10 and 5,679.43 is: 7,845.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.67 : 10,579.10 = 5,679.43 : x
  2. Step 2: Convert to fraction form
    7,658.67/10,579.10 = 5,679.43/x
  3. Step 3: Cross multiply
    7,658.67x = 10,579.10 × 5,679.43
  4. Step 4: Simplify right side
    7,658.67x = 60,083,257.91
  5. Step 5: Solve for x
    x = 60,083,257.91/7,658.67
  6. Step 6: Final answer
    x = 7,845.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.