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Finding the Fourth Proportional to 7,209.54, 10,813.23 and 5,984.82

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Solution

The fourth proportional to 7,209.54, 10,813.23 and 5,984.82 is: 8,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.54 : 10,813.23 = 5,984.82 : x
  2. Step 2: Convert to fraction form
    7,209.54/10,813.23 = 5,984.82/x
  3. Step 3: Cross multiply
    7,209.54x = 10,813.23 × 5,984.82
  4. Step 4: Simplify right side
    7,209.54x = 64,715,235.17
  5. Step 5: Solve for x
    x = 64,715,235.17/7,209.54
  6. Step 6: Final answer
    x = 8,976.33

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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.