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Finding the Fourth Proportional to 5,524.69, 7,624 and 3,006.78

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Solution

The fourth proportional to 5,524.69, 7,624 and 3,006.78 is: 4,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.69 : 7,624 = 3,006.78 : x
  2. Step 2: Convert to fraction form
    5,524.69/7,624 = 3,006.78/x
  3. Step 3: Cross multiply
    5,524.69x = 7,624 × 3,006.78
  4. Step 4: Simplify right side
    5,524.69x = 22,923,690.72
  5. Step 5: Solve for x
    x = 22,923,690.72/5,524.69
  6. Step 6: Final answer
    x = 4,149.32

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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.