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Finding the Fourth Proportional to 7,824.69, 11,737.67 and 2,559.59

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Solution

The fourth proportional to 7,824.69, 11,737.67 and 2,559.59 is: 3,839.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.69 : 11,737.67 = 2,559.59 : x
  2. Step 2: Convert to fraction form
    7,824.69/11,737.67 = 2,559.59/x
  3. Step 3: Cross multiply
    7,824.69x = 11,737.67 × 2,559.59
  4. Step 4: Simplify right side
    7,824.69x = 30,043,658.50
  5. Step 5: Solve for x
    x = 30,043,658.50/7,824.69
  6. Step 6: Final answer
    x = 3,839.60

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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.