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Finding the Fourth Proportional to 6,556.60, 9,834.90 and 4,223.80

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Solution

The fourth proportional to 6,556.60, 9,834.90 and 4,223.80 is: 6,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.60 : 9,834.90 = 4,223.80 : x
  2. Step 2: Convert to fraction form
    6,556.60/9,834.90 = 4,223.80/x
  3. Step 3: Cross multiply
    6,556.60x = 9,834.90 × 4,223.80
  4. Step 4: Simplify right side
    6,556.60x = 41,540,650.62
  5. Step 5: Solve for x
    x = 41,540,650.62/6,556.60
  6. Step 6: Final answer
    x = 6,335.70

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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.