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Finding the Fourth Proportional to 4,556.69, 6,834.68 and 1,783.99

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Solution

The fourth proportional to 4,556.69, 6,834.68 and 1,783.99 is: 2,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.69 : 6,834.68 = 1,783.99 : x
  2. Step 2: Convert to fraction form
    4,556.69/6,834.68 = 1,783.99/x
  3. Step 3: Cross multiply
    4,556.69x = 6,834.68 × 1,783.99
  4. Step 4: Simplify right side
    4,556.69x = 12,193,007.09
  5. Step 5: Solve for x
    x = 12,193,007.09/4,556.69
  6. Step 6: Final answer
    x = 2,675.85

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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.